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Remark on a group-theoretical formalism for quantum mechanics and the quantum-to-Classical transition

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Publication:2643677
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DOI10.1007/s10701-007-9130-zzbMath1137.81027arXivquant-ph/0603082OpenAlexW3106366204MaRDI QIDQ2643677

Maciej Lewenstein, J. K. Korbicz

Publication date: 27 August 2007

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0603082

zbMATH Keywords

Heisenberg-Weyl groupclasical limitsquantum-to-classical mechanics


Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Applications of Lie groups to the sciences; explicit representations (22E70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)


Related Items

Entanglement of positive definite functions on compact groups



Cites Work

  • Information-theoretic princple entails orthomodularity of a lattice
  • Quantum states which behave classically
  • Coherent states and the classical limit on irreducible representations
  • Classical limit of the harmonic oscillator Wigner functions in the Bargmann representation
  • On the Quantum Correction For Thermodynamic Equilibrium
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