The Clifford-Yang algebra, noncommutative Clifford phase spaces and the deformed quantum oscillator

DOI10.1142/s0219887823500780OpenAlexW4309325417MaRDI QIDQ6181018

Carlos Castro Perelman

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1142/s0219887823500780

zbMATH Keywords

noncommutative geometryClifford algebrasquantum mechanicsYang algebra

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60)

Cites Work

• A noncommutative spacetime realization of quantum black holes, Regge trajectories and holography
• Born's reciprocal relativity theory, curved phase space, Finsler geometry and the cosmological constant
• Three-Dimensional Isotropic Harmonic Oscillator and SU3
• On Quantized Space-Time
• Elementary Particles and the Principle of Reciprocity
• Quantized Space-Time

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