A bounded version of bosonic creation and annihilation operators and their related quasi-coherent states
arXiv:0903.5456 · doi:10.1063/1.2423230
Abstract
Coherent states are usually defined as eigenstates of an unbounded operator, the so-called annihilation operator. We propose here possible constructions of {\em quasi-coherent states}, which turn out to be {\em quasi} eigenstate of a \underline{bounded} operator related to an annihilation-like operator. We use this bounded operator to construct a sort of modified harmonic oscillator and we analyze the dynamics of this oscillator from an algebraic point of view.
References in corpus (6)
- Vector Coherent States from Plancherel's Theorem, Clifford Algebras and Matrix Domains
- Representations of Coherent States in Non-orthogonal Bases
- Applications of Topological *-Algebras of Unbounded Operators
- Some Physical Appearances of Vector Coherent States and CS Related to Degenerate Hamiltonians
- Algebraic dynamics in O*-algebras: a perturbative approach
- Exponentiating derivations of quasi *-algebras: possible approaches and applications