A bounded version of bosonic creation and annihilation operators and their related quasi-coherent states

Details A bounded version of bosonic creation and annihilation operators and their related quasi-coherent states A bounded version of bosonic creation and annihilation operators and their related quasi-coherent states

2009-03-31

arxiv.org/abs/0903.5456v1

J. Math. Phys., 48 (2007)

Physics

Mathematical Physics

Scientific paper

10.1063/1.2423230

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.

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