NDLI: Evaluation of eigenvalues of a smooth potential via Schroedinger transmission across multi-step potential

Content Provider	Springer Nature Link
Author	Sahu, Basudeb Sahu, Bidhubhusan Agarwalla, Santosh K.
Copyright Year	2008
Abstract	In a one-dimensional quantal solution of Schroedinger equation, the general expressions for reflection and transmission coefficients are derived for a potential constituting n number of rectangular wells and barriers. These expressions are readily used for the estimation of eigenvalues of a smooth potential which is simulated by a multi-step potential. The applicability of this method is demonstrated with success in potentials with different forms including the most versatile Ginocchio potential where the widely used numerical method like Runge-Kutta integration algorithm fails to yield the result. Accurate evaluation of eigenvalues free from numerical problem for any form of potentials, whether analytically solvable or not, is the highlight of the present multi-step approximation method in the theory of potential scattering.
Starting Page	27
Ending Page	39
Page Count	13
File Format	PDF
ISSN	03044289
Journal	Pramana
Volume Number	70
Issue Number	1
e-ISSN	09737111
Language	English
Publisher	Springer-Verlag
Publisher Date	2008-02-10
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Multi-step potential transmission across one-dimensional continuous potential reflection and transmission coefficients Astrophysics Astronomy Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Evaluation of eigenvalues of a smooth potential via Schroedinger transmission across multi-step potential