Deformation of noncommutative quantum mechanics

DOI10.1063/1.4963142zbMath1347.81054arXiv1603.05805OpenAlexW3104833041MaRDI QIDQ2825537

Jian-Jian Jiang, S. Hasibul Hassan Chowdhury

Publication date: 13 October 2016

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

Full work available at URL: https://arxiv.org/abs/1603.05805

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

Wigner functions on non-standard symplectic vector spaces

Cites Work

• Unnamed Item
• A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces
• Wigner measures in noncommutative quantum mechanics
• \(R\)-matrix method for Heisenberg quantum groups
• Deformation quantization of the Heisenberg group
• The quantum structure of spacetime of the Planck scale and quantum fields
• Dynamical origin of the \(\star_\theta \)-noncommutativity in field theory from quantum mechanics
• Wigner functions for noncommutative quantum mechanics: A group representation based construction
• The quantum Heisenberg group H(1)q
• On the Quantum Correction For Thermodynamic Equilibrium
• Quantum algebras as quantizations of dual Poisson–Lie groups
• A deformation quantization theory for noncommutative quantum mechanics
• The symmetry groups of noncommutative quantum mechanics and coherent state quantization
• Triply extended group of translations of $\mathbb {R}^{4}$ as defining group of NCQM: relation to various gauges
• Weyl–Wigner formulation of noncommutative quantum mechanics
• Quantized Space-Time

This page was built for publication: Deformation of noncommutative quantum mechanics