Solution of the Dipoles in Noncommutative Space with Minimal Length*

DOI10.1088/0253-6102/71/6/640zbMath1452.81133OpenAlexW2952550461MaRDI QIDQ3387770

Chao-Yun Long, Zheng-Wen Long, Mengyao Zhang

Publication date: 13 January 2021

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/71/6/640

zbMATH Keywords

Jacobi polynomialsminimal lengthnoncommutative spaceneutral spin-half particle

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60)

Cites Work

• The noncommutative Landau problem
• Nonrelativistic anyons in external electromagnetic field
• Quantum Hall effect in noncommutative quantum mechanics
• The Aharonov-Casher effect for spin-1 particles in non-commutative quantum mechanics
• The topological AC effect on non-commutative phase space
• Aharonov-Casher effect for spin-1 particles in a non-commutative space
• The aharonov-bohm effect in noncommutative quantum mechanics
• 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
• Noncommutative phase space Schrödinger equation with minimal length
• Significance of Electromagnetic Potentials in the Quantum Theory
• THE LANDAU PROBLEM AND NONCOMMUTATIVE QUANTUM MECHANICS
• Non-pointlike particles in harmonic oscillators
• Uncertainty relation in quantum mechanics with quantum group symmetry
• (2+1)-dimensional Klein–Gordon oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
• Hall effect in noncommutative coordinates
• Maximal localization in the presence of minimal uncertainties in positions and in momenta
• Quantized Space-Time
• Noncommutative field theory
• Space/time non-commutativity and causality
• Perturbative noncommutative quantum gravity
• Aharonov-Bohm effect in noncommutative spaces

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