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Exact solution of Schrodinger equation for two state problem with time dependent coupling

Author

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  • Diwaker,
  • Panda, Bandhan
  • Chakraborty, Aniruddha

Abstract

The present work focuses on the exact solution of the time dependent Schrodinger equation involving two potentials coupled by a time dependent Dirac Delta function potential. The problem involving the partial differential equations in two variables can be reduced to a single integral equation in Laplace domain and by knowing the wave function at the origin we can derive the wave function everywhere. Solutions for the different time variation of the strength of the Dirac Delta function potentials has been derived.

Suggested Citation

  • Diwaker, & Panda, Bandhan & Chakraborty, Aniruddha, 2016. "Exact solution of Schrodinger equation for two state problem with time dependent coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 380-387.
    • Handle: RePEc:eee:phsmap:v:442:y:2016:i:c:p:380-387
    DOI: 10.1016/j.physa.2015.09.054
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    Cited by:

    1. Lenzi, E.K. & de Castro, A.S.M. & Mendes, R.S., 2019. "Time dependent solutions for fractional coupled Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 622-632.

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