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One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form

dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.authorMancas, Stefan C
dc.contributor.authorChen, Pisin
dc.contributor.editorElsevier
dc.date.accessioned2018-03-21T23:42:32Z
dc.date.available2018-03-21T23:42:32Z
dc.date.issued2014
dc.identifier.citationHaret C. Rosu, Stefan C. Mancas, Pisin Chen, One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form, Annals of Physics, Volume 343, 2014, Pages 87-102, ISSN 0003-4916, http://dx.doi.org/10.1016/j.aop.2014.01.012.
dc.identifier.urihttp://hdl.handle.net/11627/3509
dc.description.abstract"In the context of supersymmetric quantum mechanics, we define a potential through a particular Riccati solution of the composition form (F ◦ f)(x) = F(f(x)) and obtain a generalized Mielnik construction of one-parameter isospectral potentials when we use the general Riccati solution. Some examples for special cases of F and f are given to illustrate the method. An interesting result is obtained in the case of a parametric double well potential generated by this method, for which it is shown that the parameter of the potential controls the heights of the localization probability in the two wells, and for certain values of the parameter the height of the localization probability can be higher in the smaller well."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectIsospectral potentials
dc.subjectFunction composition
dc.subjectIntegrating factor
dc.subjectZero mode
dc.subjectRiccati equation
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleOne-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.aop.2014.01.012
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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