NONCOMMUTATIVE QUANTUM MECHANICS AND QUANTUM COSMOLOGY

DOI10.1142/S0217751X09046138zbMath1168.83340arXiv0904.0400WikidataQ62046850 ScholiaQ62046850MaRDI QIDQ3395428

João Nuno Prata, Nuno Costa Dias, Catarina Bastos, Orfeu Bertolami

Publication date: 1 September 2009

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

Full work available at URL: https://arxiv.org/abs/0904.0400

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (7)

Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors ⋮ Gaussian fidelity distorted by external fields ⋮ Classical and statistical limits of the quantum singular oscillator ⋮ Classical and quantum bicosmology with noncommutativity ⋮ On the non-canonical noncommutative Wheeler-DeWitt equation for Schwarzschild and Kantowski-Sachs black holes ⋮ Effects of non-commutative phase-space on prolate nuclei in the presence of Coulomb interaction ⋮ Emergent time crystals from phase-space noncommutative quantum mechanics

Cites Work

• Berry phase in the gravitational quantum well and the Seiberg-Witten map
• Gravity coupled with matter and the foundation of non-commutative geometry
• Phase-space noncommutative quantum cosmology
• Wave function of the Universe
• Weyl–Wigner formulation of noncommutative quantum mechanics
• A SIMPLE SIGNAL OF NONCOMMUTATIVE SPACE
• Noncommutative gravity
• Quantum field theory on noncommutative spaces

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