M. Moumni - Academia.edu (original) (raw)
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Papers by M. Moumni
Modern Physics Letters A
In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we ... more In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which they counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than [Formula: see text]. Then, we derive the Helmholtz free energy, internal energy, specific heat and entropy functions of the Pauli oscillator in the non commutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively.
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Journal of Mathematical Physics, 2020
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Physica Scripta, 2019
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AIP Conference Proceedings, 2012
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Journal of Geometry and Physics, 2011
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International Journal of Modern Physics A, 2013
We study the corrections induced by the theory of noncommutativity, in both space–space and space... more We study the corrections induced by the theory of noncommutativity, in both space–space and space–time versions, on the spectrum of hydrogen-like atoms. For this, we use the relativistic theory of two-particle systems to take into account the effects of the reduced mass, and we use perturbation methods to study the effects of noncommutativity. We apply our study to the muon hydrogen with the aim to solve the puzzle of proton radius [R. Pohl et al., Nature466, 213 (2010) and A. Antognini et al., Science339, 417 (2013)]. The shifts in the spectrum are found more noticeable in muon H(μH) than in electron H(eH) because the corrections depend on the mass to the third power. This explains the discrepancy between μH and eH results. In space–space noncommutativity, the parameter required to resolve the puzzle θ ss ≈(0.35 GeV )-2, exceeds the limit obtained for this parameter from various studies on eH Lamb shift. For space–time noncommutativity, the value θ st ≈(14.3 GeV )-2 has been obtain...
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We study analytically the two-dimensional deformed bosonic oscillator equation for charged partic... more We study analytically the two-dimensional deformed bosonic oscillator equation for charged particles (both spin 0 and spin 1 particles) subject to the effect of an uniform magnetic field. We consider the presence of a minimal uncertainty in momentum caused by the Anti–de Sitter model and we use the Nikiforov–Uvarov (NU) method to solve the system. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein Gordon and scalar Duffin-Kemmer-Petiau (DKP) cases. For spin 1 DKP case, we deduce the behavior of the DKP equation and write the non-relativistic energies and we show the fundamental role of the spin in this case. Finally, we study the thermodynamic properties of the system. PACS: 03.65.Ge, 03.65.Pm.
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Modern Physics Letters A
In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we ... more In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which they counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than [Formula: see text]. Then, we derive the Helmholtz free energy, internal energy, specific heat and entropy functions of the Pauli oscillator in the non commutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively.
Bookmarks Related papers MentionsView impact
Bookmarks Related papers MentionsView impact
Journal of Mathematical Physics, 2020
Bookmarks Related papers MentionsView impact
Physica Scripta, 2019
Bookmarks Related papers MentionsView impact
AIP Conference Proceedings, 2012
Bookmarks Related papers MentionsView impact
Journal of Geometry and Physics, 2011
Bookmarks Related papers MentionsView impact
International Journal of Modern Physics A, 2013
We study the corrections induced by the theory of noncommutativity, in both space–space and space... more We study the corrections induced by the theory of noncommutativity, in both space–space and space–time versions, on the spectrum of hydrogen-like atoms. For this, we use the relativistic theory of two-particle systems to take into account the effects of the reduced mass, and we use perturbation methods to study the effects of noncommutativity. We apply our study to the muon hydrogen with the aim to solve the puzzle of proton radius [R. Pohl et al., Nature466, 213 (2010) and A. Antognini et al., Science339, 417 (2013)]. The shifts in the spectrum are found more noticeable in muon H(μH) than in electron H(eH) because the corrections depend on the mass to the third power. This explains the discrepancy between μH and eH results. In space–space noncommutativity, the parameter required to resolve the puzzle θ ss ≈(0.35 GeV )-2, exceeds the limit obtained for this parameter from various studies on eH Lamb shift. For space–time noncommutativity, the value θ st ≈(14.3 GeV )-2 has been obtain...
Bookmarks Related papers MentionsView impact
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We study analytically the two-dimensional deformed bosonic oscillator equation for charged partic... more We study analytically the two-dimensional deformed bosonic oscillator equation for charged particles (both spin 0 and spin 1 particles) subject to the effect of an uniform magnetic field. We consider the presence of a minimal uncertainty in momentum caused by the Anti–de Sitter model and we use the Nikiforov–Uvarov (NU) method to solve the system. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein Gordon and scalar Duffin-Kemmer-Petiau (DKP) cases. For spin 1 DKP case, we deduce the behavior of the DKP equation and write the non-relativistic energies and we show the fundamental role of the spin in this case. Finally, we study the thermodynamic properties of the system. PACS: 03.65.Ge, 03.65.Pm.
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