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arXiv · 0903.5456

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

Fabio Bagarello
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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.

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Fabio Bagarello. 2009-03-31. A bounded version of bosonic creation and annihilation operators and their related quasi-coherent states. https://doi.org/10.1063/1.2423230

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