Conserved symmetries in noncommutative quantum mechanics

DOI10.1002/prop.201400016zbMath1338.81244arXiv1404.2550OpenAlexW3122554715MaRDI QIDQ2812671

Vladislav G. Kupriyanov

Publication date: 17 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2550

zbMATH Keywords

conservation lawsstar producttrace functionalcovariant noncommutative space-time

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom
• From noncommutative \(\kappa \)-Minkowski to Minkowski space-time
• Star products made (somewhat) easier
• \(\kappa \)-Minkowski spacetime and the star product realizations
• Deformation quantization with traces
• Deformation quantization of Poisson manifolds
• The quantum structure of spacetime of the Planck scale and quantum fields
• A hydrogen atom on curved noncommutative space
• The fuzzy sphere
• Quantum mechanics with coordinate dependent noncommutativity
• Quantized Space-Time
• Noncommutative field theory
• Quantum field theory on noncommutative spaces
• The exotic Galilei group and the ``Peierls substitution.

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