Action-angle coherent states for quantum systems with cylindric phase space
arXiv:1111.4908 · doi:10.1088/1751-8113/45/33/335302
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 (7)
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Coherent States and Bayesian Duality
- Semiclassical and quantum description of motion on noncommutative plane
- Coherent states of a particle in magnetic field and Stieltjes moment problem
- 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
Cited by in corpus (7)
- Coherent state Quantization of quaternions
- Quantum localisation on the circle
- Photon-added coherent states for shape invariant systems
- Three paths toward the quantum angle operator
- Solving oscillations problems through affine quantization
- Integral Quantization for the Discrete Cylinder
- Density operator approach for Landau problem quantum Hamiltonians