The Schrödinger and Pauli-Dirac oscillators in noncommutative phase space

DOI10.1007/s10773-010-0529-5zbMath1209.81137OpenAlexW2065077396MaRDI QIDQ630126

Juan-Miguel Gracia

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1007/s10773-010-0529-5

zbMATH Keywords

noncommutative phase spaceGalilean covariant formalismPauli-Dirac oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60)

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Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ THREE-DIMENSIONAL KLEIN–GORDON OSCILLATOR IN A BACKGROUND MAGNETIC FIELD IN NONCOMMUTATIVE PHASE SPACE ⋮ Exact solution of \((2+1)\)-dimensional noncommutative Pauli equation in a time-dependent background ⋮ Solutions of noncommutative two-dimensional position-dependent mass Dirac equation in the presence of Rashba spin-orbit interaction by using the Nikiforov-Uvarov method ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Spinless Duffin-Kemmer-Petiau oscillator in a Galilean non-commutative phase space

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