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Papers by Oladunjoye Awoga

Research paper thumbnail of On the Canonical Transformation of Time-Dependent Harmonic Oscillator

Physics Research International, 2010

We performed a two-variable canonical transformation on the time momentum operator, and without l... more We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.

Research paper thumbnail of On the Canonical Transformation of Time-Dependent Harmonic Oscillator

Physics Research International, 2010

We performed a two-variable canonical transformation on the time momentum operator, and without l... more We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.

Research paper thumbnail of Bound State Solution of Exponential-coshine screened and Morse potential

The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse... more The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse potential are presented. The energy eigenvalues and the corresponding wave function are obtained for several values of screening parameters. We also present some numerical results for some selected diatomic molecules which are consistent with the values in the literature

Research paper thumbnail of Bound State Solutions of Schr

The energy spectra and the wave function depending on the c-factor are investigated for a more ge... more The energy spectra and the wave function depending on the c-factor are investigated for a more general Woods-Saxon potential (MGWSP) with an arbitrary l - state. The wave functions are expressed in terms of the Jacobi polynomials. Two potentials are obtained from this MGWSP as special cases. These special potentials are Hulthen and the standard Woods-Saxon potentials. We also discuss the energy spectrum and wave function for the special cases.

Research paper thumbnail of Solution of Dirac Equation with Modified Hylleraas Potential under Spin and Pseudospin Symmetry

Quantum Physics Letters, 2014

Research paper thumbnail of Bound state solutions of deformed generalized Deng-Fan potential plus deformed Eckart potential in D-dimensions

Revista Mexicana de Fisica

In this article,we present the approximate solution of the D-dimensional Schrödinger equation for... more In this article,we present the approximate solution of the D-dimensional Schrödinger equation for deformed generalized Deng-Fan plus deformed Eckart potential using parametric Nikiforov-Uvarov method. We obtain the bound state energy eigenvalues and the corresponding wave function for arbitrary l state. Special cases of this potential are also discussed.

Research paper thumbnail of Approximate solutions of the Klein–Gordon equation with unequal scalar and vector modified Hylleraas potential

Indian Journal of Physics

We have presented approximate solutions of the Klein–Gordon equation with unequal scalar and vect... more We have presented approximate solutions of the Klein–Gordon equation with unequal scalar and vector modified Hylleraas potential for arbitrary l-state. We have used the parametric generalization of the Nikiforov–Uvarov method to obtain the bound state energy eigenvalues and the corresponding wave function expressed in term of the Jacobi polynomials. We have also discussed two special cases of the potential.

Research paper thumbnail of On the Canonical Transformation of Time-Dependent Harmonic Oscillator

Physics Research International, 2010

We performed a two-variable canonical transformation on the time momentum operator, and without l... more We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.

Research paper thumbnail of Solution of Dirac Equation with Modified Hylleraas Potential under Spin and Pseudospin Symmetry

Quantum Physics Letters, 2014

Research paper thumbnail of Bound state solutions of exponential-coshine screened coulomb plus morse potential

Journal of Atomic and Molecular Sciences, 2012

Research paper thumbnail of Thermodynamic Properties of the Harmonic Oscillator and a Four Level System

Applied Physics Research, 2011

The thermodynamics properties of a quantum harmonic oscillator and four level oscillator systems ... more The thermodynamics properties of a quantum harmonic oscillator and four level oscillator systems are evaluated. These results lead to the exact value for the entropy of the system which corresponds to the second law of thermodynamics. We also show the numerical results for the harmonic and four level oscillators and it is in good agreement with the one obtained before in the literature.

Research paper thumbnail of Approximate solution of Schrödinger equation in D dimensions for inverted generalized hyperbolic potential

Pramana, 2012

The Nikiforov-Uvarov method is used to investigate the bound state solutions of Schrödinger equat... more The Nikiforov-Uvarov method is used to investigate the bound state solutions of Schrödinger equation with a generalized inverted hyperbolic potential in D-space. We obtain the energy spectrum and eigenfunction of this potential for arbitrary l-state in D dimensions. We show that the potential reduces to special cases such as Rosen-Morse, Poschl-Teller and Scarf potentials. The energy spectra and wave functions of these special cases are also discussed. The numerical results of these potentials are presented.

Research paper thumbnail of Exact Solutions of the Klein–Gordon Equation with Hylleraas Potential

Few-Body Systems, 2012

We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uv... more We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in terms of Jacobi Polynomials.

Research paper thumbnail of Approximate Solutions of D-Dimensional Klein-Gordon Equation with modified Hylleraas Potential

Few-Body Systems, 2013

Your article is protected by copyright and all rights are held exclusively by Springer-Verlag Wie... more Your article is protected by copyright and all rights are held exclusively by Springer-Verlag Wien. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self-archive your article, please use the accepted manuscript version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com".

Research paper thumbnail of Analytical Approximate Solution of Schrödinger Equation in D Dimensions with Quadratic Exponential-Type Potential for Arbitrary l -State

Communications in Theoretical Physics, 2014

We present the bound state solution of Schrödinger equation in D dimensions for quadratic exponen... more We present the bound state solution of Schrödinger equation in D dimensions for quadratic exponential-type potential for arbitrary l-state. We use generalized parametric Nikiforov-Uvarov method to obtain the energy levels and the corresponding eigenfunction in closed form. We also compute the energy eigenvalues numerically.

Research paper thumbnail of Evaluation of the thermodynamics of a four level system using canonical density matrix method

Archives of Thermodynamics, 2000

Research paper thumbnail of Solutions of Dirac Equation with Generalized Rotating Deng-Fan Potential

Arabian Journal for Science and Engineering, 2014

ABSTRACT We present the approximate solution of the Dirac equationwith generalized RotatingDeng-F... more ABSTRACT We present the approximate solution of the Dirac equationwith generalized RotatingDeng-Fan potential under spin and pseudospin symmetry limits using a parametric generalized NIkiforov–Uvarov method to obtain the energy eigenvalue and the corresponding eigen functions in closed form. We also discussed the special cases of this potential which is consistent with those found in other literatures

Research paper thumbnail of Bound state solutions of d -dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

Chinese Physics B, 2013

We study the D-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas poten... more We study the D-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of Jacobi polynomial. We also discussed two special cases of this potential comprises of the Hulthen potential and the Rosen-Morse potential in 3-Dimensions. Numerical results are also computed for the energy spectrum and the potentials, PACS Numbers: 03.65Ge, 03.65-w, 03.65Ca.

Research paper thumbnail of Solutions of Schr

We present the bound state solutions of the Schr\"odinger equation with generalized inverted hype... more We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary - state. We show that the results of this potential reduced to the standard known potentials - Rosen-Morse, Poschl - Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases.

Research paper thumbnail of On the Canonical Transformation of Time-Dependent Harmonic Oscillator

Physics Research International, 2010

We performed a two-variable canonical transformation on the time momentum operator, and without l... more We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.

Research paper thumbnail of On the Canonical Transformation of Time-Dependent Harmonic Oscillator

Physics Research International, 2010

We performed a two-variable canonical transformation on the time momentum operator, and without l... more We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.

Research paper thumbnail of Bound State Solution of Exponential-coshine screened and Morse potential

The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse... more The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse potential are presented. The energy eigenvalues and the corresponding wave function are obtained for several values of screening parameters. We also present some numerical results for some selected diatomic molecules which are consistent with the values in the literature

Research paper thumbnail of Bound State Solutions of Schr

The energy spectra and the wave function depending on the c-factor are investigated for a more ge... more The energy spectra and the wave function depending on the c-factor are investigated for a more general Woods-Saxon potential (MGWSP) with an arbitrary l - state. The wave functions are expressed in terms of the Jacobi polynomials. Two potentials are obtained from this MGWSP as special cases. These special potentials are Hulthen and the standard Woods-Saxon potentials. We also discuss the energy spectrum and wave function for the special cases.

Research paper thumbnail of Solution of Dirac Equation with Modified Hylleraas Potential under Spin and Pseudospin Symmetry

Quantum Physics Letters, 2014

Research paper thumbnail of Bound state solutions of deformed generalized Deng-Fan potential plus deformed Eckart potential in D-dimensions

Revista Mexicana de Fisica

In this article,we present the approximate solution of the D-dimensional Schrödinger equation for... more In this article,we present the approximate solution of the D-dimensional Schrödinger equation for deformed generalized Deng-Fan plus deformed Eckart potential using parametric Nikiforov-Uvarov method. We obtain the bound state energy eigenvalues and the corresponding wave function for arbitrary l state. Special cases of this potential are also discussed.

Research paper thumbnail of Approximate solutions of the Klein–Gordon equation with unequal scalar and vector modified Hylleraas potential

Indian Journal of Physics

We have presented approximate solutions of the Klein–Gordon equation with unequal scalar and vect... more We have presented approximate solutions of the Klein–Gordon equation with unequal scalar and vector modified Hylleraas potential for arbitrary l-state. We have used the parametric generalization of the Nikiforov–Uvarov method to obtain the bound state energy eigenvalues and the corresponding wave function expressed in term of the Jacobi polynomials. We have also discussed two special cases of the potential.

Research paper thumbnail of On the Canonical Transformation of Time-Dependent Harmonic Oscillator

Physics Research International, 2010

We performed a two-variable canonical transformation on the time momentum operator, and without l... more We performed a two-variable canonical transformation on the time momentum operator, and without loss of generality we carried out a three-variable transformation on the coordinate and momentum space operators to trivialize the Hamiltonian operator of the system. Fortunately, this operation separates the time-coordinate and space coordinate naturally, and the wave function of the time-dependent Harmonic Oscillator is evaluated via the generator.

Research paper thumbnail of Solution of Dirac Equation with Modified Hylleraas Potential under Spin and Pseudospin Symmetry

Quantum Physics Letters, 2014

Research paper thumbnail of Bound state solutions of exponential-coshine screened coulomb plus morse potential

Journal of Atomic and Molecular Sciences, 2012

Research paper thumbnail of Thermodynamic Properties of the Harmonic Oscillator and a Four Level System

Applied Physics Research, 2011

The thermodynamics properties of a quantum harmonic oscillator and four level oscillator systems ... more The thermodynamics properties of a quantum harmonic oscillator and four level oscillator systems are evaluated. These results lead to the exact value for the entropy of the system which corresponds to the second law of thermodynamics. We also show the numerical results for the harmonic and four level oscillators and it is in good agreement with the one obtained before in the literature.

Research paper thumbnail of Approximate solution of Schrödinger equation in D dimensions for inverted generalized hyperbolic potential

Pramana, 2012

The Nikiforov-Uvarov method is used to investigate the bound state solutions of Schrödinger equat... more The Nikiforov-Uvarov method is used to investigate the bound state solutions of Schrödinger equation with a generalized inverted hyperbolic potential in D-space. We obtain the energy spectrum and eigenfunction of this potential for arbitrary l-state in D dimensions. We show that the potential reduces to special cases such as Rosen-Morse, Poschl-Teller and Scarf potentials. The energy spectra and wave functions of these special cases are also discussed. The numerical results of these potentials are presented.

Research paper thumbnail of Exact Solutions of the Klein–Gordon Equation with Hylleraas Potential

Few-Body Systems, 2012

We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uv... more We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in terms of Jacobi Polynomials.

Research paper thumbnail of Approximate Solutions of D-Dimensional Klein-Gordon Equation with modified Hylleraas Potential

Few-Body Systems, 2013

Your article is protected by copyright and all rights are held exclusively by Springer-Verlag Wie... more Your article is protected by copyright and all rights are held exclusively by Springer-Verlag Wien. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self-archive your article, please use the accepted manuscript version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com".

Research paper thumbnail of Analytical Approximate Solution of Schrödinger Equation in D Dimensions with Quadratic Exponential-Type Potential for Arbitrary l -State

Communications in Theoretical Physics, 2014

We present the bound state solution of Schrödinger equation in D dimensions for quadratic exponen... more We present the bound state solution of Schrödinger equation in D dimensions for quadratic exponential-type potential for arbitrary l-state. We use generalized parametric Nikiforov-Uvarov method to obtain the energy levels and the corresponding eigenfunction in closed form. We also compute the energy eigenvalues numerically.

Research paper thumbnail of Evaluation of the thermodynamics of a four level system using canonical density matrix method

Archives of Thermodynamics, 2000

Research paper thumbnail of Solutions of Dirac Equation with Generalized Rotating Deng-Fan Potential

Arabian Journal for Science and Engineering, 2014

ABSTRACT We present the approximate solution of the Dirac equationwith generalized RotatingDeng-F... more ABSTRACT We present the approximate solution of the Dirac equationwith generalized RotatingDeng-Fan potential under spin and pseudospin symmetry limits using a parametric generalized NIkiforov–Uvarov method to obtain the energy eigenvalue and the corresponding eigen functions in closed form. We also discussed the special cases of this potential which is consistent with those found in other literatures

Research paper thumbnail of Bound state solutions of d -dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potential

Chinese Physics B, 2013

We study the D-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas poten... more We study the D-dimensional Schrödinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms of Jacobi polynomial. We also discussed two special cases of this potential comprises of the Hulthen potential and the Rosen-Morse potential in 3-Dimensions. Numerical results are also computed for the energy spectrum and the potentials, PACS Numbers: 03.65Ge, 03.65-w, 03.65Ca.

Research paper thumbnail of Solutions of Schr

We present the bound state solutions of the Schr\"odinger equation with generalized inverted hype... more We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary - state. We show that the results of this potential reduced to the standard known potentials - Rosen-Morse, Poschl - Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases.