Exact solution of \((2+1)\)-dimensional noncommutative Pauli equation in a time-dependent background

DOI10.1007/s10773-022-05197-5zbMath1502.81046OpenAlexW4289981739WikidataQ113901332 ScholiaQ113901332MaRDI QIDQ2165346

Hassan Hassanabadi, Ilyas Haouam

Publication date: 19 August 2022

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-022-05197-5

zbMATH Keywords

Pauli equationBopp-shiftLewis-Riesenfeld methodnoncommutative phase-spacetime-dependent s ystemtime-dependentMoyal product

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Exactly and quasi-solvable systems arising in quantum theory (81U15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformations of general structures on manifolds (58H15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Motion of charged particles (78A35) Electro- and magnetostatics (78A30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Classical limit and Ehrenfest's theorem versus non-relativistic limit of noncommutative Dirac equation in the presence of minimal uncertainty in momentum, Solutions of noncommutative two-dimensional position-dependent mass Dirac equation in the presence of Rashba spin-orbit interaction by using the Nikiforov-Uvarov method

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