A New Kind of Deformed Hermite Polynomials and Its Applications

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dc.creatorJing, Si Cong
dc.creatorYang, Wei Min
dc.date2002-12-03
dc.date.accessioned2026-07-07T04:29:37Z
dc.date.available2026-07-07T04:29:37Z
dc.descriptionA new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Hermite polynomials is proposed, its some properties such as generating function, orthonormality, differential and integral representaions, and recursion relations are also discussed in this paper. As its applications, we calculate explicit forms of parabose squeezed number states, derive a particularly simple subset of minimum uncertainty states for parabose amplitude-squared squeezing, and discuss their basic squeezing behaviours.
dc.description18 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math-ph/0212011
dc.identifierhttp://arxiv.org/abs/math-ph/0212011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57227
dc.subjectMathematical Physics
dc.titleA New Kind of Deformed Hermite Polynomials and Its Applications
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