Dirac oscillator in noncommutative phase space

DOI10.1007/S10773-010-0349-7zbMath1197.81115OpenAlexW2046700825WikidataQ21564022 ScholiaQ21564022MaRDI QIDQ707787

Tao Jing, Rukun Zhang, Guang-Jie Guo, Shao-Hong Cai

Publication date: 8 October 2010

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

Full work available at URL: https://doi.org/10.1007/s10773-010-0349-7

zbMATH Keywords

exact solutionsDirac oscillatornoncommutative phase space

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60)

Related Items (11)

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: I. Klein–Gordon oscillator ⋮ Algebraic approach to exact solution of the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space ⋮ Duffin-Kemmer-Petiau oscillator with spin non-commutativity ⋮ The anomalous Seeman effect for the hydrogen atom in noncommutative space ⋮ Superstatistics of anisotropic oscillator in a noncommutative plane ⋮ Dirac oscillator in a Galilean covariant non-commutative space ⋮ Study of the Dirac oscillator in the presence of vector and scalar potentials in the cosmic string space-time ⋮ Spinless Duffin-Kemmer-Petiau oscillator in a Galilean non-commutative phase space ⋮ Zitterbewegung in noncommutative geometry ⋮ Phenomenology of noncommutative phase space via the anomalous Zeeman effect in hydrogen atom ⋮ Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time

Cites Work

• Fractional angular momentum in non-commutative spaces
• Exact solutions of the Kemmer equation for a Dirac oscillator
• On the eigensolutions of the one-dimensional Duffin–Kemmer–Petiau oscillator
• A generalized Duffin-Kemmer-Petiau oscillator
• Noncommutative 3D harmonic oscillator
• Aharonov-Bohm scattering of particles with spin
• Orbital magnetism of a two-dimensional noncommutative confined system
• DKP Oscillator in a Noncommutative Space
• The Duffin-Kemmer-Petiau oscillator
• On Quantum Mechanics on Noncommutative Quantum Phase Space
• Quantum mechanics on a noncommutative brane in M(atrix) theory

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