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Time dependent solutions for fractional coupled Schrödinger equations

Author

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  • Lenzi, E.K.
  • de Castro, A.S.M.
  • Mendes, R.S.

Abstract

We analyze dynamical properties of two fractional Schrödinger equations coupled by some classes of real time independent potentials. For this set of equations, we investigate the required conditions on the equations making it possible to retain the probabilistic interpretation of their correspondent solutions when two component wave functions are considered. We observe the presence of interference between the components during the transition processes which can be either reversible or irreversible depending on the condition imposed on the potentials. The solutions for these equations are obtained in both cases of localized and non-localized coupling potentials.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:622-632
    DOI: 10.1016/j.amc.2018.10.074
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. dos Santos, Mateus C.P., 2024. "Orthogonal multi-peak solitons from the coupled fractional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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