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Non-adiabatic transition probability with a moving δ potential coupling

2013/12/29 by Diwaker, Aniruddha Chakraborty, Chakraborty, Aniruddha
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1312.7504

Manuscript consists of 9 pages and 35 equations in total. arXiv admin note: substantial text overlap with arXiv:1308.0804

arxiv created 2015/08/17 · arxiv updated 2015/08/18

Abstract

The present work focuses on the calculation of a non-adiabatic transition probability between two states which may or may not cross with each other and are coupled to each other by a moving δ function potential. Here, the time dependent Schrodinger equation is converted to time independent one by using a scaling factor which is function of time. This time independent Schrodinger equation is then considered for two potentials coupled by a moving δ potential and an expression for non-adiabatic transition probability has been derived.

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