Barut-Girardello coherent states for sp(N,C) and multimode Schrödinger cat states

dc.creatorTrifonov, D. A.
dc.date1997-06-13
dc.date.accessioned2026-07-07T06:14:18Z
dc.date.available2026-07-07T06:14:18Z
dc.descriptionOvercomplete families of states of the type of Barut-Girardello coherent states (BG CS) are constructed for noncompact algebras $u(p,q)$ and $sp(N,C)$ in quadratic bosonic representation. The $sp(N,C)$ BG CS are obtained in the form of multimode ordinary Schrödinger cat states. A set of such macroscopic superpositions is pointed out which is overcomplete in the whole $N$ mode Hilbert space (while the associated $sp(N,C)$ representation is reducible). The multimode squared amplitude Schrödinger cat states are introduced as macroscopic superpositions of the obtained $sp(N,C)$ BG CS.}
dc.descriptionLatex, 11 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9706028
dc.identifierhttp://arxiv.org/abs/quant-ph/9706028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93411
dc.subjectQuantum Physics
dc.titleBarut-Girardello coherent states for sp(N,C) and multimode Schrödinger cat states
dc.typetext

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