Construction of coherent states for physical algebraic systems

Abstract

We construct a general state which is an eigenvector of the annihilation operator of the Generalized Heisenberg Algebra. We show for several systems, which are characterized by different energy spectra, that this general state satisfies the minimal set of conditions required to obtain Klauder's minimal coherent states.

15 pages, 3 figures

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• Construction of coherent states for Morse potential: A su(2)-like approach
• Nonlinear Quantum Optical Springs and Their Nonclassical Properties
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
• Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
• Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator
• Finite-dimensional simple modules over generalized Heisenberg algebras
• Robustness of deformed catlike states under dissipative decoherence