Squeezed states, generalized Hermite polynomials and pseudo-diffusion equation
| dc.contributor.author | Mizrahi, Salomon S. | |
| dc.contributor.author | Daboul, Jamil [UNESP] | |
| dc.contributor.institution | Universidade Federal de São Carlos (UFSCar) | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2014-05-27T11:17:29Z | |
| dc.date.available | 2014-05-27T11:17:29Z | |
| dc.date.issued | 1992-11-01 | |
| dc.description.abstract | We show that the wavefunctions 〈pq; λ|n〈, of the harmonic oscillator in the squeezed state representation, have the generalized Hermite polynomials as their natural orthogonal polynomials. These wavefunctions lead to generalized Poisson Distribution Pn(pq;λ), which satisfy an interesting pseudo-diffusion equation: ∂Pnp,q;λ) ∂λ= 1 4 [ ∂2 ∂p2-( 1 λ2) ∂2 ∂q2]P2(p,q;λ), in which the squeeze parameter λ plays the role of time. Th entropies Sn(λ) have minima at the unsqueezed states (λ=1), which means that squeezing or stretching decreases the correlation between momentum p and position q. © 1992. | en |
| dc.description.affiliation | Departamento de Física Universidade Federal de São Carlos, Via Washington Luiz, km 235, 13560 São Carlos, SP | |
| dc.description.affiliation | Instituto de Física Teórica UNESP, Rua Pamplona 145, 01405 São Paulo | |
| dc.description.affiliationUnesp | Instituto de Física Teórica UNESP, Rua Pamplona 145, 01405 São Paulo | |
| dc.format.extent | 635-650 | |
| dc.identifier | http://dx.doi.org/10.1016/0378-4371(92)90066-Y | |
| dc.identifier.citation | Physica A: Statistical Mechanics and its Applications, v. 189, n. 3-4, p. 635-650, 1992. | |
| dc.identifier.doi | 10.1016/0378-4371(92)90066-Y | |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.scopus | 2-s2.0-0008464467 | |
| dc.identifier.uri | http://hdl.handle.net/11449/64272 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Physica A: Statistical Mechanics and Its Applications | |
| dc.relation.ispartofjcr | 2.132 | |
| dc.relation.ispartofsjr | 0,773 | |
| dc.rights.accessRights | Acesso restrito | |
| dc.source | Scopus | |
| dc.title | Squeezed states, generalized Hermite polynomials and pseudo-diffusion equation | en |
| dc.type | Artigo | |
| dcterms.license | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulo | pt |