The q-deformed Dirac oscillator in the presence of a magnetic field in (1+2)-dimensions in Noncommutative phase space

2017 ◽  
Vol 70 (6) ◽  
pp. 557-560 ◽  
Author(s):  
Sepideh Sargolzaeipor ◽  
Hassan Hassanabadi ◽  
Won Sang Chung
Keyword(s):  
Magnetic Field ◽  
Phase Space ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space

scholarly journals Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
H. Panahi ◽  
A. Savadi
Keyword(s):  
Exact Solution ◽  
Phase Space ◽  
Algebraic Approach ◽  
Wave Functions ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space ◽  
Energy Eigenvalues ◽  
Good Agreement

We study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are obtained through the sl(2) algebraization. It is shown that the results are in good agreement with those obtained previously via a different method.

scholarly journals Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

2020 ◽  
Vol 08 (12) ◽  
pp. 2801-2823
Author(s):  
Martin Tcoffo ◽  
Germain Yinde Deuto ◽  
Issofa Nsangou ◽  
Armel Azangue Koumetio ◽  
Lylyane S. Yonya Tchapda ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Space ◽  
Harmonic Oscillator ◽  
Two Dimensional ◽  
Magnetic Field Effects ◽  
Noncommutative Phase Space ◽  
Field Effects

scholarly journals Noncommutative Phase Space Schrödinger Equation with Minimal Length

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
H. Hassanabadi ◽  
Z. Molaee ◽  
S. Zarrinkamar
Keyword(s):  
Magnetic Field ◽  
Phase Space ◽  
External Magnetic Field ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Jacobi Polynomials ◽  
Minimal Length ◽  
Two Dimensional ◽  
Noncommutative Phase Space ◽  
Energy Eigenvalues

We consider the Schrödinger equation under an external magnetic field in two-dimensional noncommutative phase space with an explicit minimal length relation. The eigenfunctions are reported in terms of the Jacobi polynomials, and the explicit form of energy eigenvalues is reported.

scholarly journals Two-Dimensional Pauli Equation in Noncommutative Phase-Space

2021 ◽  
Vol 66 (9) ◽  
pp. 771
Author(s):  
I. Haouam
Keyword(s):  
Magnetic Field ◽  
Phase Space ◽  
Classical Limit ◽  
Helmholtz Free Energy ◽  
Particle Systems ◽  
Two Dimensional ◽  
Noncommutative Phase Space ◽  
Pauli Equation ◽  
The Impact ◽  
Space Noncommutativity

We study the Pauli equation in a two-dimensional noncommutative phase-space by considering a constant magnetic field perpendicular to the plane. The noncommutative problem is related to the equivalent commutative one through a set of two-dimensional Bopp-shift transformations. The energy spectrum and the wave function of the two-dimensional noncommutative Pauli equation are found, where the problem in question has been mapped to the Landau problem. In the classical limit, we have derived the noncommutative semiclassical partition function for one- and N- particle systems. The thermodynamic properties such as the Helmholtz free energy, mean energy, specific heat and entropy in noncommutative and commutative phasespaces are determined. The impact of the phase-space noncommutativity on the Pauli system is successfully examined.

Dirac Oscillator in Noncommutative Phase Space and (Anti)-Jaynes-Cummings Models

2012 ◽  
Vol 51 (7) ◽  
pp. 2143-2151 ◽  
Author(s):  
Zhi-Yu Luo ◽  
Qing Wang ◽  
Xiao Li ◽  
Jian Jing
Keyword(s):  
Phase Space ◽  
Dirac Oscillator ◽  
Noncommutative Phase Space
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