Generalized Heisenberg algebra coherent states for Power-law potentials
arXiv:1004.4384 · doi:10.1016/j.physleta.2010.11.027
Abstract
Coherent states for power-law potentials are constructed using generalized Heisenberg algabras. Klauder's minimal set of conditions required to obtain coherent states are satisfied. The statistical properties of these states are investigated through the evaluation of the Mandel's parameter. It is shown that these coherent states are useful for describing the states of real and ideal lasers.
arXiv comment13 pages, 2 figures
References in corpus (6)
- Coherent States for the Hydrogen Atom
- Entanglement conditions for two-mode states: Applications
- Shape-invariant potentials and an associated coherent state
- Multi Parametric Deformed Heisenberg Algebras: A Route to Complexity
- Construction of coherent states for physical algebraic systems
- Coherent states in the quantum multiverse
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