10.1007/s40096-021-00417-1

Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods

  • Seyed Mohammad Ali Aleomraninejad*1,
  • Mehdi Solaimani2,
  1. Department of Mathematics, Qom University of Technology, Qom, IR
  2. Department of Physics, Faculty of Science, Qom University of Technology, Qom, IR

Published in Issue 2021-06-14

How to Cite

Aleomraninejad, S. M. A., & Solaimani, M. (2021). Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods. Mathematical Sciences, 16(3 (September 2022). https://doi.org/10.1007/s40096-021-00417-1
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Abstract

Abstract The Sinc-Galerkin and Sinc-Collocation methods are presented to solve linear Schrodinger equation and obtain the electronic spectrum of linear Schrodinger equations. Some properties of the Sinc methods required for our subsequent development are given and utilized. In sequel, Sinc-Galerkin method is compared with Sinc-Collocation method. Numerical examples are included to demonstrate the validity and applicability of the presented techniques. We prove that the present methods are easy to implement and yields accurate results. Our main result is also that the Sinc-Collocation method fails for some potentials, but the Sinc-Galerkin method is successful.

Keywords

  • Linear Schrodinger equation,
  • Quantum well potential,
  • Sinc-Collocation method,
  • Sinc-Galerkin method,
  • Electronic spectrum and corresponding wave functions

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