The Bargmann representation for the quantum mechanics on a sphere
arXiv:quant-ph/0011070 · doi:10.1063/1.1385376
Abstract
The Bargmann representation is constructed corresponding to the coherent states for a particle on a sphere introduced in: K. Kowalski and J. Rembielinski, J. Phys. A: Math. Gen. 33, 6035 (2000). The connection is discussed between the introduced formalism and the standard approach based on the Hilbert space of square integrable functions on a sphere S^2.
LaTeX
References in corpus (1)
Cited by in corpus (8)
- Coherent states on spheres
- Coherent states of a charged particle in a uniform magnetic field
- Coherent states for the quantum mechanics on a torus
- Group-quantization of non-linear sigma models: particle on S^2 revisited
- On the coherent states for a relativistic scalar particle
- On relation between geometric momentum and annihilation operators on a two-dimensional sphere
- Fuzzy spheres from inequivalent coherent states quantizations
- Coherent states for compact Lie groups and their large-N limits