The statistical properties of Klein-Gordon oscillator in noncommutative space

DOI10.1063/1.4866978zbMath1286.81118OpenAlexW2012746506MaRDI QIDQ5414806

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Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4866978

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Noncommutative geometry in quantum theory (81R60)

Related Items (11)

On the thermodynamic properties of the spinless Duffin-Kemmer-Petiau oscillator in noncommutative plane ⋮ Synthesis of relativistic wave equations: the noninteracting case ⋮ On a simple relation between Duffin-Kemmer-Petiau and Tzou algebras ⋮ Spin and pseudo-spin symmetries of fermionic particles with an energy-dependent potential in non-commutative phase space ⋮ Thermal properties of the 2D Klein-Gordon oscillator in a cosmic string space-time ⋮ Negative heat capacity for a Klein–Gordon oscillator in non-commutative complex phase space ⋮ Generalized Dirac oscillator in cosmic string space-time ⋮ Comparing exact energy solutions of quartic eigenvalue polynomials in commutative, non-commutative and non-commutative phase frameworks for boson π− ⋮ New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential ⋮ How the spin-orbit interaction appears with the same order of a non-commutative change of framework for relativistic fermions ⋮ Study of Schrödinger equation in terms of Heun functions in the commutative vs. non-commutative spaces

Cites Work

• The topological AC effect on non-commutative phase space
• Non-commutative quantum mechanics and the Aharonov-Casher effect
• String theory and noncommutative geometry
• Quantum Hall effect in bilayer systems and the noncommutative plane: a toy model approach
• Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states
• Approximate Solution of D-Dimensional Klein—Gordon Equation with Hulthén-Type Potential via SUSYQM
• Effective-mass Klein–Gordon equation for non-PT/non-Hermitian generalized Morse potential
• Hall effect in noncommutative coordinates
• REPRESENTATION OF NONCOMMUTATIVE PHASE SPACE
• Noncommutative field theory
• Space/time non-commutativity and causality
• Perturbative noncommutative quantum gravity

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