Uncertainty relation in quantum mechanics with quantum group symmetry
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Publication:4327188
DOI10.1063/1.530798zbMath0877.17017arXivhep-th/9311147OpenAlexW2004842157MaRDI QIDQ4327188
Publication date: 5 April 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9311147
quantum groupcommutation relationsuncertainty relationsFock representationsspectra of position and momentum operatorssymmetric Heisenberg algebras
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
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Cites Work
- Twisted second quantization
- Quantum group-symmetric Fock spaces with Bargmann-Fock representation
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- Quantum group symmetric Bargmann–Fock space: Integral kernels, Green functions, driving forces
- Free braided differential calculus, braided binomial theorem, and the braided exponential map
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