Phase operators via group contraction

DOI10.1063/1.529136zbMath0726.70007OpenAlexW2095338525MaRDI QIDQ3348463

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Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529136

zbMATH Keywords

polar decompositionJaynes-Cummings modelgroup contractionfinite-dimensional counterpartHermitian phase operatorsquantization of the classical phase of a harmonic oscillatoru(2) algebra

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric quantization (53D50) Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

GeneralizedSU(2) covariant Wigner functions and some of their applications ⋮ The q-phase-difference operator and two-mode q-coherent states ⋮ Dynamics with unitary phase operator: implications for Wigner's problem ⋮ Operational approach to complementarity and duality relations ⋮ The Phase-Difference Properties of Two-Mode Coherent States

Cites Work

• Dynamical breaking of supersymmetry
• Who is afraid of nonhermitian operators? A quantum description of angle and phase
• On the polar decomposition of the quantum SU(2) algebra
• A note on the contraction of Lie algebras

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