2013/08/04 by Diwaker, Aniruddha Chakraborty, Chakraborty, Aniruddha · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Blind Source Separation Techniques #Channel (broadcasting) #Computer science #Diabatic #Dirac delta function #Eigenfunction #Eigenvalues and eigenvectors #FOS: Physical sciences #Function (biology) #Geometry #Mathematical analysis #Mathematics #Physics #Point (geometry) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum mechanics #Scattering #Simple (philosophy) #Telecommunications #quant-ph
paper · pdf · doi:10.48550/arxiv.1308.0804
arxiv created 2013/08/04 · openalex publication_date 2013/08/04 · arxiv updated 2013/08/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We have proposed an analytical approach for exact solution of multi-channel scattering problems, in presence of Dirac Delta function couplings. Our solution is quite general and is valid for any set of potentials, if the Green's functions of the uncoupled potentials are known at the crossing point. Using our model, it is possible to express N-channel problem by N independent `single' channel problems and hence one can have a realistic solution of multi-channel scattering problem. In this paper we have shown that transition probability from first diabatic potential to any other potential can be easily evaluated using a very simple analytical formula - which only require value of eigenfunction of first uncoupled potential and value of Green's function of other uncoupled potential, at the crossing.