Integral-free Wigner functions

dc.creatorTegmen, A.
dc.date2007-02-06
dc.date.accessioned2026-07-07T08:51:44Z
dc.date.available2026-07-07T08:51:44Z
dc.descriptionWigner phase space quasi-probability distribution function is a Fourier transform related to a given quantum mechanical wave function. It is shown that for the wave functions of type $ψ(q)=e^{-aq^2}ϕ(q)$, the Wigner function can be defined in terms of differential operators acting on a given function, independently from the integral formula which appears in the standard definition. Gaussian wave packet, harmonic and singular oscillators are given as the examples.
dc.description5 pages, no figures, to appear in "Il Nuovo Cimento B"
dc.identifierhttps://arxiv.org/abs/math-ph/0702018
dc.identifierhttp://arxiv.org/abs/math-ph/0702018
dc.identifierNuovo Cimento B, 121(9), 937-942 (2006)
dc.identifierdoi:10.1393/ncb/i2006-10148-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145041
dc.subjectMathematical Physics
dc.titleIntegral-free Wigner functions
dc.typetext

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