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Dynamics with unitary phase operator: implications for Wigner's problem

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Publication:5952605
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DOI10.1016/S0375-9601(01)00807-6zbMath0988.81060arXivquant-ph/0107133OpenAlexW2035462889MaRDI QIDQ5952605

Ramandeep S. Johal

Publication date: 15 January 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0107133


zbMATH Keywords

ladder operatorspolar SU(2) operator decompositionSU(2) algebra deformations


Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Operator algebra methods applied to problems in quantum theory (81R15)





Cites Work

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  • A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
  • Classical-quantum correspondence and angular velocity in the Barnett-Pegg formalism.
  • A Schwinger Term in q-Deformed su(2) Algebra
  • On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
  • Phase operators via group contraction
  • Generalized deformed SU(2) algebra
  • Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
  • A Generalized Method of Field Quantization




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