Coherent and squeezed states of quantum Heisenberg algebras

2005/03/03 by Nibaldo Alvarez-Moraga
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP

paper · pdf · doi:10.1088/0305-4470/38/11/005

published as J. Phys., A 38 (2005) 2375-2398 · 32 pages, 3 figures

openalex publication_date 2005/03/03 · arxiv created 2005/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

Citations

• Generalized coherent and squeezed states based on the h(1)⊕su(2) algebra
• sh(2/2) Superalgebra Eigenstates and Generalized Supercoherent and Supersqueezed States

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• Quantum deformed algebras : Coherent states and special functions
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• Two oscillators quantum groups and associated deformed coherent states