6533b85dfe1ef96bd12be935

RESEARCH PRODUCT

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

Fabio Bagarello

subject

Unbounded operatorPhysicsOperator (physics)Creation and annihilation operatorsFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)bosonic operatorBounded operatorBounded functionCoherent statesCoherent statesSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsHarmonic oscillatorMathematical PhysicsMathematical physics

description

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.

yearjournalcountryeditionlanguage
2007-01-01
10.1063/1.2423230http://arxiv.org/abs/0903.5456