Action-angle coherent states for quantum systems with cylindric phase space

Abstract

Quantum versions of cylindric phase space, like for the motion of a particle on the circle, are obtained through different families of coherent states. The latter are built from various probability distributions of the action variable. The method is illustrated with Gaussian distributions and uniform distributions on intervals, and resulting quantizations are explored.

References in corpus (17)

• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Coherent states for a quantum particle on a circle
• Pauli's Theorem and Quantum Canonical Pairs: The Consistency Of a Bounded, Self-Adjoint Time Operator Canonically Conjugate to a Hamiltonian with Non-empty Point Spectrum
• Coherent states on the circle
• Coherent states on spheres
• On the uncertainty relations and squeezed states for the quantum mechanics on a circle
• Are Number and Phase Complementary Observables?
• Coherent States and Bayesian Duality
• Quantum Jumps on a Circle
• Coherent state quantization of a particle in de Sitter space
• Coherent state quantization of paragrassmann algebras
• Semiclassical and quantum description of motion on noncommutative plane
• Coherent states of a particle in magnetic field and Stieltjes moment problem
• Reply to the Comment on ``On the uncertainty relations and squeezed states for the quantum mechanics on a circle''
• Infinite quantum well: a coherent state approach
• Wick ordering for coherent state quantization in 1+1 de Sitter space
• Quantization with Action-Angle Coherent States

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• Density operator approach for Landau problem quantum Hamiltonians