2005•Journal of Physics A Mathematical and GeneralOpen access

Coherent and squeezed states of quantum Heisenberg algebras

Nibaldo Alvarez-Moraga

Abstract

Starting from deformed quantum Heisenberg Lie algebras some realizations are given in terms of the usual creation and annihilation operators of the standard harmonic oscillator. Then the associated algebra eigenstates are computed and give rise to new classes of deformed coherent and squeezed states. They are parametrized by deformed algebra parameters and suitable redefinitions of them as paragrassmann numbers. Some properties of these deformed states are also analysed.

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Key concepts: Creation and annihilation operators, Coherent states, Harmonic oscillator, Coherent states in mathematical physics, Eigenvalues and eigenvectors, Physics, Squeezed coherent state, Quantum