Generalized coherent and squeezed states based on the h(1)⊕su(2) algebra

2002/05/01 by Nibaldo Alvarez-Moraga, Nibaldo Alvarez M., Veronique Hussin +1 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum optics and atomic interactions #math-ph #math.MP

paper · pdf · doi:10.1063/1.1462858

published as J.Math.Phys. 43 (2002) 2063-2096 · 42 pages, 10 figures

openalex publication_date 2002/05/01 · arxiv created 2005/03/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

States which minimize the Schrödinger–Robertson uncertainty relation are constructed as eigenstates of an operator which is an element of the h(1)⊕su(2) algebra. The relations with supercoherent and supersqueezed states of the supersymmetric harmonic oscillator are given. Moreover, we are able to compute general Hamiltonians which behave like the harmonic oscillator Hamiltonian or are related to the Jaynes–Cummings Hamiltonian.

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• sh(2/2) Superalgebra Eigenstates and Generalized Supercoherent and Supersqueezed States
• Coherent and squeezed states of quantum Heisenberg algebras
• Invariant vector fields and the prolongation method for supersymmetric quantum systems
• Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass

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