Generalized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra

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dc.creatorAlvarez-Moraga, Nibaldo
dc.creatorHussin, Veronique
dc.date2005-03-26
dc.date.accessioned2026-07-07T04:31:58Z
dc.date.available2026-07-07T04:31:58Z
dc.descriptionStates which minimize the Schrödinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the $h(1) \oplus \su(2)$ algebra. The relations with supercoherent and supersqueezed states of the supersymmetric harmonic oscillator are given. Moreover, we are able to compute gneneral Hamiltonians which behave like the harmonic oscillator Hamiltonian or are related to the Jaynes--Cummings Hamiltonian.
dc.description42 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0503062
dc.identifierhttp://arxiv.org/abs/math-ph/0503062
dc.identifierJ.Math.Phys. 43 (2002) 2063-2096
dc.identifierdoi:10.1063/1.1462858
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58019
dc.subjectMathematical Physics
dc.titleGeneralized coherent and squeezed states based on the $h(1) \otimes su(2)$ algebra
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