Nurisya M. Shah | Universiti Putra Malaysia (original) (raw)

Papers by Nurisya M. Shah

Many network models have been proposed and constructed to mimic the underlying features of comple... more Many network models have been proposed and constructed to mimic the underlying features of complex networks. Studying the dynamical process of a network gives a good platform to understand how the underlying geometrical and structural features influence various transport properties. In this study, the dynamical process on the network is described by using random walks. From this process, some of the random walk transport properties are determined such as relaxation time, mean first passage time (MFPT), random walk centrality (RWC), average trapping time (ATT) and global mean first passage time (GMFPT). We find that GMFPT grows exponentially when the network grows. This is mainly due to some central nodes that have high RWC, which tends to attract the random walker more compared to a node with a lower RWC. This study plays an important role in determining the performance of the network.

Malaysian Journal of Mathematical Sciences, Sep 26, 2022

The evolution of quantum states serves as good fundamental studies in understanding the quantum i... more The evolution of quantum states serves as good fundamental studies in understanding the quantum information systems which finally lead to the research on quantum computation. To carry out such a study, mathematical tools such as the Lie group and their associated Lie algebra is of great importance. In this study, the Lie algebra of su(8) is represented in a tensor product operation between three Pauli matrices. This can be realized by constructing the generalized Gell-Mann matrices and comparing them to the Pauli bases. It is shown that there is a oneto-one correlation of the Gell-Mann matrices with the Pauli basis which resembled the change of coordinates. Together with the commutator relations and the frequency analysis of the structure constant via the algebra, the Lie bracket operation will be highlighted providing insight into relating quantum circuit model with Lie Algebra. These are particularly useful when dealing with three-qubit quantum circuit problems which involve quantum gates that is derived from the SU (8) Lie group.

Malaysian Journal of Fundamental and Applied Sciences, Jun 16, 2014

In this review, we would like to highlight the three known no-go theorems in quantum physics in r... more In this review, we would like to highlight the three known no-go theorems in quantum physics in relation to the process of quantization that maps classical observables to quantum ones. The quantization approach considered is a mixture of Isham's group-theoretic quantization and geometric quantization with special emphasis on underlying compact phase space geometry of spheres. The first is Groenewold-van Hove theorem that states the obstruction of quantizing the full algebra of observables and in the sphere case, only limited to the spin observables plus the constant functions. The other two are theorems of Bell and Kochen-Specker stating that the only hidden variable theories allowed by quantum physics are nonlocal and contextual ones. We give simple examples of these no-go theorems and indicate some interesting problems arising from them for the field of quantization

AIP Conference Proceedings, 2009

Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interes... more Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interesting role in exploring quantum chaos and in studying behaviour of future quantum nano‐devices. The case of singly‐punctured two‐torus, for example, has been ...

Sains Malaysiana, Feb 28, 2023

Two-dimensional materials from group IVA namely graphene, silicene, and germanene have gained res... more Two-dimensional materials from group IVA namely graphene, silicene, and germanene have gained research interest in various fields of applications recently due to their extraordinary properties. These substrates have been successfully synthesized and are found to have interesting gas sensing capabilities. In this work, first-principles study using density functional theory is carried out to investigate the adsorption of toxic gases such as CO, Cl 2 , NO 2 , and COCl 2 on these monolayers. We analyze the best adsorption site and orientation for these molecules on the monolayers by calculating the adsorption energy. Charge transfer, the density of state (DOS) and band diagram calculations are performed to explore the changes in their electronic and structural properties due to the adsorbed gas molecules. As for the sensing performance, crude estimations of the sensitivity and recovery time are performed. The results show that silicene and germanene monolayers are better at detecting CO and NO 2 as compared to graphene. They have a short recovery time for CO but a long recovery time for NO 2 implying that they are better for scavenging NO 2. Besides, silicene is also a better gas sensor for chlorine gas with a 44 min recovery time. As for graphene, it is the best gas sensor for phosgene among the substrates. This study gives a clear prediction of substrates for the detection of these toxic gases.

Results in physics, Sep 1, 2021

Abstract In this work, the structural and electronic properties of graphene/germanene heterobilay... more Abstract In this work, the structural and electronic properties of graphene/germanene heterobilayer is investigated by using density functional theory. We find that the graphene and germanene are bounded together mainly by weak van der Waal forces. This is supported by small interlayer binding energy of graphene/germanene heterobilayer. In the heterobilayer, the Dirac cone characteristics of both graphene and germanene layers are well preserved. The band gap opening is found due to the unsaturated pz-orbital of germanene layer. Further variation of compressive strain along the normal of the heterobilayer increases the band gap opening in the heterobilayer. Inhomogeneous charge redistribution is found in between graphene and germanene layer, where small charge accumulation region is found in germanene layer while charge depletion region in graphene layer. The total charge accumulations in between graphene and germanene sheets is 5.645 × 10−4 e .

Journal of Advanced Research in Applied Sciences and Engineering Technology, Jan 31, 2023

Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, whi... more Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, which is a causal interpretation of quantum mechanics. Periodic and chaotic behaviours could be exhibited from the certain classical integrable systems that have been shown within this framework. In this study, we developed Mathematica programs to plot the Bohmian trajectories and Lyapunov exponents. These programs serve as computer experiments for numerical generation and illustration of the results. We show that the behaviours of commensurate two-dimensional harmonic oscillator systems are dependent on ratios of frequency.

arXiv (Cornell University), Feb 7, 2018

Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we... more Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we consider the problem using Isham's canonical group quantization scheme for which the primary object is the symmetry group that underlies the phase space. The noncommutativity of the configuration space coordinates requires us to introduce the noncommutative term in the symplectic structure of the system. This modified symplectic structure will modify the group acting on the configuration space from abelian R 2 to a nonabelian one. As a result, the canonical group obtained is a deformed Heisenberg group and the canonical commutation relation (CCR) corresponds to what is usually found in noncommutative quantum mechanics.

Complex network representing many real-world systems in nature and society have some common struc... more Complex network representing many real-world systems in nature and society have some common structural properties such as power-law degree distribution, small average path length and strong clustering coefficient. Recent research has hinted that networks that have an underlying hyperbolic geometry are able to capture these properties. In this research, we focused on constructing the complex networks using abstract mathematical structures constructed by tessellating the hyperbolic triangle group on the hyperbolic plane. We report here how we can use Mathematica to generate corresponding tessellation from the group generators using linear fractional transformations. We then develop a programme to extract and visualize the network hidden in the tessellation for several hyperbolic triangle groups.

Results in physics, Aug 1, 2022

SSRN Electronic Journal

We investigate the effects of wedge disclination on charge carriers in circular graphene quantum ... more We investigate the effects of wedge disclination on charge carriers in circular graphene quantum dots subjected to a magnetic flux. Using the asymptotic solutions of the energy spectrum for large arguments, we approximate the scattering matrix elements, and then study the density of states. It is found that the density of states shows several resonance peaks under various conditions. In particular, it is shown that the wedge disclination is able to change the amplitude, width, and positions of resonance peaks.

International Journal of Modern Physics A

Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and th... more Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and the lowest-order photon self-energy is calculated in the Real-Time Formalism (RTF) for an arbitrary path specified by the [Formula: see text]-parameter within the new basis. The causal Green’s functions (without chemical potential) for the scalar field are evaluated to derive the usual thermal propagators in the mixed space. It is shown that the symmetric propagator does not depend on [Formula: see text]-parameter. Furthermore, the photon self-energy is used to calculate some electromagnetic properties, such as dielectric tensor and velocity of light from photon self-energy in the mixed space that greatly simplifies calculations in RTF. Their time dependence is investigated, and a comparison between our results and those obtained by other models is discussed.

arXiv: High Energy Physics - Phenomenology, 2019

One of the most important phase transition in physics is the Deconfinement Phase Transition in th... more One of the most important phase transition in physics is the Deconfinement Phase Transition in thermal Quantum ChromoDynamics. Due to the confinement property, we study the effect of colorlessness condition during the Deconfinement Phase Transition from a Hadronic Gas to a Quark-Gluon Plasma. We investigate the behavior of some thermodynamical quantities of the system such as the energy density and the pressure, the colorlessness condition and without colorlessness.

PROCEEDINGS OF THE 14TH ASIA-PACIFIC PHYSICS CONFERENCE, 2021

It is known that universe began with a hot big bang with radiation dominated era involving photon... more It is known that universe began with a hot big bang with radiation dominated era involving photons. For this reason, photons are studied at finite temperature. In order to determine thermal effects on photons, calculations of longitudinal photon self-energy are made within real time formalism in mixed space.

Journal of Physics: Conference Series, 2017

The aim of this work is to highlight results of energy eigenstates on some noncompact finite hype... more The aim of this work is to highlight results of energy eigenstates on some noncompact finite hyperbolic surfaces. Such systems are known to exhibit both continuous and discrete spectra and are dependent on the subgroups of the modular group that underlie these surfaces. We study explicitly the cases of Maass cusp forms on the singly punctured two-torus and the triply punctured two-sphere for their eigenvalues. The eigenvalues for the torus system are doubly degenerate while for the sphere case, the eigenvalues are nondegenerate. We also note that the lowest eigenvalue of the sphere system is larger than that of the torus system

AIP Conference Proceedings, 2009

Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interes... more Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interesting role in exploring quantum chaos and in studying behaviour of future quantum nano‐devices. The case of singly‐punctured two‐torus, for example, has been ...

Physica Scripta, Dec 29, 2022

The factorization method in operator language formalism and supersymmetric quantum mechanics are ... more The factorization method in operator language formalism and supersymmetric quantum mechanics are vastly studied in literature. The well-known factorization method goes to the early work by Infeld and Hull in 1951. However, a different formalism of factorization method introduced by Green in 1965 is less being considered by the researchers. We show that the Green factorization method, also known as the deductive method, has a connection with supersymmetric quantum mechanics. Some anharmonic quantum systems are discussed by obtaining their analytical expressions for the complete spectrum of bound states and superpotential through the Green factorization method.

arXiv: Quantum Physics, 2020

Quantum computation started to become significant field of studies as it hold great promising tow... more Quantum computation started to become significant field of studies as it hold great promising towards the upgrade of our current computational power. Studying the evolution of quantum states serves as a good fundamental in understanding quantum information which lead to quantum computation. This was assisted with the respective mathematical tools such as Lie group and Lie algebra. In this study, the Lie algebra of mathfraksu(8)\mathfrak{su}(8)mathfraksu(8) is represented in tensor product between three Pauli matrices. This is done by constructing the generalized Gell-Mann matrices and compared to the Pauli basis. This study will explicitly shows the one-to-one correlation of Gell-Mann matrices with the Pauli basis resembled change of coordinates. This is particularly useful when dealing with quantum circuit problems.

M. N. Nazmi M. Rusli, Nurisya M. Shah, Hishamuddin Zainuddin, and Chan Kar Tim Laboratory of Comp... more M. N. Nazmi M. Rusli, Nurisya M. Shah, Hishamuddin Zainuddin, and Chan Kar Tim Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia Department of Physics, Kulliyyah of Science (KOS), International Islamic University Malaysia (IIUM), 25200 Kuantan, Pahang, Malaysia Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia ∗corresponding email: nazrennazmi98@gmail.com, risya@upm.edu.my The comparison of the Hamiltonians of the noncommutative isotropic harmonic oscillator and Landau problem are analysed to study the specific conditions under which these two models are indistinguishable. The energy eigenvalues and eigenstates of Landau problem in symmetric and two Landau gauges are evaluated analytically. The Hamiltonian of a noncommutative isotropic harmonic oscillator is found by using Bopp’s shift in commutative coo...

Many network models have been proposed and constructed to mimic the underlying features of comple... more Many network models have been proposed and constructed to mimic the underlying features of complex networks. Studying the dynamical process of a network gives a good platform to understand how the underlying geometrical and structural features influence various transport properties. In this study, the dynamical process on the network is described by using random walks. From this process, some of the random walk transport properties are determined such as relaxation time, mean first passage time (MFPT), random walk centrality (RWC), average trapping time (ATT) and global mean first passage time (GMFPT). We find that GMFPT grows exponentially when the network grows. This is mainly due to some central nodes that have high RWC, which tends to attract the random walker more compared to a node with a lower RWC. This study plays an important role in determining the performance of the network.

Malaysian Journal of Mathematical Sciences, Sep 26, 2022

The evolution of quantum states serves as good fundamental studies in understanding the quantum i... more The evolution of quantum states serves as good fundamental studies in understanding the quantum information systems which finally lead to the research on quantum computation. To carry out such a study, mathematical tools such as the Lie group and their associated Lie algebra is of great importance. In this study, the Lie algebra of su(8) is represented in a tensor product operation between three Pauli matrices. This can be realized by constructing the generalized Gell-Mann matrices and comparing them to the Pauli bases. It is shown that there is a oneto-one correlation of the Gell-Mann matrices with the Pauli basis which resembled the change of coordinates. Together with the commutator relations and the frequency analysis of the structure constant via the algebra, the Lie bracket operation will be highlighted providing insight into relating quantum circuit model with Lie Algebra. These are particularly useful when dealing with three-qubit quantum circuit problems which involve quantum gates that is derived from the SU (8) Lie group.

Malaysian Journal of Fundamental and Applied Sciences, Jun 16, 2014

In this review, we would like to highlight the three known no-go theorems in quantum physics in r... more In this review, we would like to highlight the three known no-go theorems in quantum physics in relation to the process of quantization that maps classical observables to quantum ones. The quantization approach considered is a mixture of Isham's group-theoretic quantization and geometric quantization with special emphasis on underlying compact phase space geometry of spheres. The first is Groenewold-van Hove theorem that states the obstruction of quantizing the full algebra of observables and in the sphere case, only limited to the spin observables plus the constant functions. The other two are theorems of Bell and Kochen-Specker stating that the only hidden variable theories allowed by quantum physics are nonlocal and contextual ones. We give simple examples of these no-go theorems and indicate some interesting problems arising from them for the field of quantization

AIP Conference Proceedings, 2009

Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interes... more Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interesting role in exploring quantum chaos and in studying behaviour of future quantum nano‐devices. The case of singly‐punctured two‐torus, for example, has been ...

Sains Malaysiana, Feb 28, 2023

Two-dimensional materials from group IVA namely graphene, silicene, and germanene have gained res... more Two-dimensional materials from group IVA namely graphene, silicene, and germanene have gained research interest in various fields of applications recently due to their extraordinary properties. These substrates have been successfully synthesized and are found to have interesting gas sensing capabilities. In this work, first-principles study using density functional theory is carried out to investigate the adsorption of toxic gases such as CO, Cl 2 , NO 2 , and COCl 2 on these monolayers. We analyze the best adsorption site and orientation for these molecules on the monolayers by calculating the adsorption energy. Charge transfer, the density of state (DOS) and band diagram calculations are performed to explore the changes in their electronic and structural properties due to the adsorbed gas molecules. As for the sensing performance, crude estimations of the sensitivity and recovery time are performed. The results show that silicene and germanene monolayers are better at detecting CO and NO 2 as compared to graphene. They have a short recovery time for CO but a long recovery time for NO 2 implying that they are better for scavenging NO 2. Besides, silicene is also a better gas sensor for chlorine gas with a 44 min recovery time. As for graphene, it is the best gas sensor for phosgene among the substrates. This study gives a clear prediction of substrates for the detection of these toxic gases.

Results in physics, Sep 1, 2021

Abstract In this work, the structural and electronic properties of graphene/germanene heterobilay... more Abstract In this work, the structural and electronic properties of graphene/germanene heterobilayer is investigated by using density functional theory. We find that the graphene and germanene are bounded together mainly by weak van der Waal forces. This is supported by small interlayer binding energy of graphene/germanene heterobilayer. In the heterobilayer, the Dirac cone characteristics of both graphene and germanene layers are well preserved. The band gap opening is found due to the unsaturated pz-orbital of germanene layer. Further variation of compressive strain along the normal of the heterobilayer increases the band gap opening in the heterobilayer. Inhomogeneous charge redistribution is found in between graphene and germanene layer, where small charge accumulation region is found in germanene layer while charge depletion region in graphene layer. The total charge accumulations in between graphene and germanene sheets is 5.645 × 10−4 e .

Journal of Advanced Research in Applied Sciences and Engineering Technology, Jan 31, 2023

Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, whi... more Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, which is a causal interpretation of quantum mechanics. Periodic and chaotic behaviours could be exhibited from the certain classical integrable systems that have been shown within this framework. In this study, we developed Mathematica programs to plot the Bohmian trajectories and Lyapunov exponents. These programs serve as computer experiments for numerical generation and illustration of the results. We show that the behaviours of commensurate two-dimensional harmonic oscillator systems are dependent on ratios of frequency.

arXiv (Cornell University), Feb 7, 2018

Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we... more Noncommutative quantum mechanics on the plane has been widely studied in the literature. Here, we consider the problem using Isham's canonical group quantization scheme for which the primary object is the symmetry group that underlies the phase space. The noncommutativity of the configuration space coordinates requires us to introduce the noncommutative term in the symplectic structure of the system. This modified symplectic structure will modify the group acting on the configuration space from abelian R 2 to a nonabelian one. As a result, the canonical group obtained is a deformed Heisenberg group and the canonical commutation relation (CCR) corresponds to what is usually found in noncommutative quantum mechanics.

Complex network representing many real-world systems in nature and society have some common struc... more Complex network representing many real-world systems in nature and society have some common structural properties such as power-law degree distribution, small average path length and strong clustering coefficient. Recent research has hinted that networks that have an underlying hyperbolic geometry are able to capture these properties. In this research, we focused on constructing the complex networks using abstract mathematical structures constructed by tessellating the hyperbolic triangle group on the hyperbolic plane. We report here how we can use Mathematica to generate corresponding tessellation from the group generators using linear fractional transformations. We then develop a programme to extract and visualize the network hidden in the tessellation for several hyperbolic triangle groups.

Results in physics, Aug 1, 2022

SSRN Electronic Journal

We investigate the effects of wedge disclination on charge carriers in circular graphene quantum ... more We investigate the effects of wedge disclination on charge carriers in circular graphene quantum dots subjected to a magnetic flux. Using the asymptotic solutions of the energy spectrum for large arguments, we approximate the scattering matrix elements, and then study the density of states. It is found that the density of states shows several resonance peaks under various conditions. In particular, it is shown that the wedge disclination is able to change the amplitude, width, and positions of resonance peaks.

International Journal of Modern Physics A

Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and th... more Using the effective Lagrangian for the low energy/temperature of photon–photon interaction and the lowest-order photon self-energy is calculated in the Real-Time Formalism (RTF) for an arbitrary path specified by the [Formula: see text]-parameter within the new basis. The causal Green’s functions (without chemical potential) for the scalar field are evaluated to derive the usual thermal propagators in the mixed space. It is shown that the symmetric propagator does not depend on [Formula: see text]-parameter. Furthermore, the photon self-energy is used to calculate some electromagnetic properties, such as dielectric tensor and velocity of light from photon self-energy in the mixed space that greatly simplifies calculations in RTF. Their time dependence is investigated, and a comparison between our results and those obtained by other models is discussed.

arXiv: High Energy Physics - Phenomenology, 2019

One of the most important phase transition in physics is the Deconfinement Phase Transition in th... more One of the most important phase transition in physics is the Deconfinement Phase Transition in thermal Quantum ChromoDynamics. Due to the confinement property, we study the effect of colorlessness condition during the Deconfinement Phase Transition from a Hadronic Gas to a Quark-Gluon Plasma. We investigate the behavior of some thermodynamical quantities of the system such as the energy density and the pressure, the colorlessness condition and without colorlessness.

PROCEEDINGS OF THE 14TH ASIA-PACIFIC PHYSICS CONFERENCE, 2021

It is known that universe began with a hot big bang with radiation dominated era involving photon... more It is known that universe began with a hot big bang with radiation dominated era involving photons. For this reason, photons are studied at finite temperature. In order to determine thermal effects on photons, calculations of longitudinal photon self-energy are made within real time formalism in mixed space.

Journal of Physics: Conference Series, 2017

The aim of this work is to highlight results of energy eigenstates on some noncompact finite hype... more The aim of this work is to highlight results of energy eigenstates on some noncompact finite hyperbolic surfaces. Such systems are known to exhibit both continuous and discrete spectra and are dependent on the subgroups of the modular group that underlie these surfaces. We study explicitly the cases of Maass cusp forms on the singly punctured two-torus and the triply punctured two-sphere for their eigenvalues. The eigenvalues for the torus system are doubly degenerate while for the sphere case, the eigenvalues are nondegenerate. We also note that the lowest eigenvalue of the sphere system is larger than that of the torus system

AIP Conference Proceedings, 2009

Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interes... more Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interesting role in exploring quantum chaos and in studying behaviour of future quantum nano‐devices. The case of singly‐punctured two‐torus, for example, has been ...

Physica Scripta, Dec 29, 2022

The factorization method in operator language formalism and supersymmetric quantum mechanics are ... more The factorization method in operator language formalism and supersymmetric quantum mechanics are vastly studied in literature. The well-known factorization method goes to the early work by Infeld and Hull in 1951. However, a different formalism of factorization method introduced by Green in 1965 is less being considered by the researchers. We show that the Green factorization method, also known as the deductive method, has a connection with supersymmetric quantum mechanics. Some anharmonic quantum systems are discussed by obtaining their analytical expressions for the complete spectrum of bound states and superpotential through the Green factorization method.

arXiv: Quantum Physics, 2020

Quantum computation started to become significant field of studies as it hold great promising tow... more Quantum computation started to become significant field of studies as it hold great promising towards the upgrade of our current computational power. Studying the evolution of quantum states serves as a good fundamental in understanding quantum information which lead to quantum computation. This was assisted with the respective mathematical tools such as Lie group and Lie algebra. In this study, the Lie algebra of mathfraksu(8)\mathfrak{su}(8)mathfraksu(8) is represented in tensor product between three Pauli matrices. This is done by constructing the generalized Gell-Mann matrices and compared to the Pauli basis. This study will explicitly shows the one-to-one correlation of Gell-Mann matrices with the Pauli basis resembled change of coordinates. This is particularly useful when dealing with quantum circuit problems.

M. N. Nazmi M. Rusli, Nurisya M. Shah, Hishamuddin Zainuddin, and Chan Kar Tim Laboratory of Comp... more M. N. Nazmi M. Rusli, Nurisya M. Shah, Hishamuddin Zainuddin, and Chan Kar Tim Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia Department of Physics, Kulliyyah of Science (KOS), International Islamic University Malaysia (IIUM), 25200 Kuantan, Pahang, Malaysia Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia ∗corresponding email: nazrennazmi98@gmail.com, risya@upm.edu.my The comparison of the Hamiltonians of the noncommutative isotropic harmonic oscillator and Landau problem are analysed to study the specific conditions under which these two models are indistinguishable. The energy eigenvalues and eigenstates of Landau problem in symmetric and two Landau gauges are evaluated analytically. The Hamiltonian of a noncommutative isotropic harmonic oscillator is found by using Bopp’s shift in commutative coo...