An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators

dc.contributorElsevier
dc.creatorRosu Barbus, Haret-Codratian
dc.date2018-03-21T23:42:39Z
dc.date2018-03-21T23:42:39Z
dc.date2012
dc.date.accessioned2023-07-17T22:05:13Z
dc.date.available2023-07-17T22:05:13Z
dc.identifierRafael Arcos-Olalla, Marco A. Reyes, Haret C. Rosu, An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators, Physics Letters A, Volume 376, Issue 45, 2012, Pages 2860-2865, ISSN 0375-9601, http://dx.doi.org/10.1016/j.physleta.2012.09.024.
dc.identifierhttp://hdl.handle.net/11627/3535
dc.identifierhttps://doi.org/10.1016/j.physleta.2012.09.024
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7544290
dc.description"We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a two-parameter self-adjoint operator from which the standard harmonic oscillator, the one-parameter oscillators introduced by Mielnik, and the Hermite operator are obtained in certain limits of the parameters. In addition, a single Bernoulli-type parameter factorization which is different of the one introduced by M. A. Reyes, H. C. Rosu, and M. R. Gutie´rrez, Phys. Lett. A 375 (2011) 2145 is briefly discussed in the final part of this work."
dc.formatapplication/pdf
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rightsAcceso Abierto
dc.subjectFactorization
dc.subjectQuantum harmonic oscillator
dc.subjectRiccati equation
dc.subjectBernoulli equation
dc.subjectCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleAn alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
dc.typearticle


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