Transfer Matrix Approach for Two-State Scattering Problem with Arbitrary Coupling
Diwaker** , Aniruddha Chakraborty
School of Basic Sciences, Indian Institute of Technology Mandi, Mandi 175005, India
Abstract ：The present work deals with the calculation of transition probability between two diabatic potentials coupled by any arbitrary coupling. The method presented in this work is applicable to any type of coupling while for numerical calculations we have assumed the arbitrary coupling as Gaussian coupling. This arbitrary coupling is expressed as a collection of Dirac delta functions and by the use of the transfer matrix technique the transition probability from one diabatic potential to another diabatic potential is calculated. We examine our approach by considering the case of two constant potentials coupled by Gaussian coupling as an arbitrary coupling.
收稿日期: 2015-04-08
出版日期: 2015-07-30
:
03.65.Nk
(Scattering theory)
02.60.Cb
(Numerical simulation; solution of equations)
03.65.Ge
(Solutions of wave equations: bound states)
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2015, Vol. 32 
