کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8202637 1529868 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 343, April 2014, Pages 87-102
نویسندگان
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