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One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
HARET CODRATIAN ROSU
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.aop.2014.01.012
Isospectral potentials
Function composition
Integrating factor
Zero mode
Riccati equation
"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."
Elsevier
2014
Artículo
Inglés
Público en general
Haret 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.
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
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Aparece en las colecciones: Publicaciones Científicas Nanociencias y Materiales

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