Coherent and squeezed states of quantum Heisenberg algebras

Details Coherent and squeezed states of quantum Heisenberg algebras Coherent and squeezed states of quantum Heisenberg algebras

2005-03-23

arxiv.org/abs/math-ph/0503055v1

J. Phys., A 38 (2005) 2375-2398

Physics

Mathematical Physics

32 pages, 3 figures

Scientific paper

10.1088/0305-4470/38/11/005

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 also are analyzed.

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