Coherent states for the quantum mechanics on a torus
arXiv:0712.1724 · doi:10.1103/PhysRevA.75.052102
Abstract
The coherent states for the quantum mechanics on a torus and their basic properties are discussed.
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References in corpus (12)
- Spectroscopy of nanoscopic semiconductor rings
- Quantum gravity, shadow states, and quantum mechanics
- Coherent states for a quantum particle on a circle
- Quantization of the canonically conjugate pair angle and orbital angular momentum
- Coherent states on the circle
- Coherent states on spheres
- Coherent states for a particle on a sphere
- Quantum mechanics of a free particle on a pointed plane revisited
- Quantum Mechanics in Multiply-Connected Spaces
- The Bargmann representation for the quantum mechanics on a sphere
- Quantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators
- How to construct a coordinate representation of a Hamiltonian operator on a torus
Cited by in corpus (10)
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- Coherent State Wave Functions on a Torus with a Constant Magnetic Field
- On the coherent states for a relativistic scalar particle
- Semiclassical evolution of quantum wave packets on the torus beyond the Ehrenfest time in terms of Husimi distributions
- On relation between geometric momentum and annihilation operators on a two-dimensional sphere
- Coherent States, Superpositions of Coherent States and Uncertainty Relations on a Möbius Strip
- Entanglement And Non-Trivial Topologies
- Classical (ontological) dual states in quantum theory and the minimal group representation Hilbert space