• Solving the two-dimensional Schrödinger equation using basis truncation: A hands-on review and a controversial case

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      https://www.ias.ac.in/article/fulltext/pram/089/05/0070

    • Keywords

       

      Matrix mechanics; quantum rings; coupled harmonic oscillators

    • Abstract

       

      Solutions of the Schrödinger equation by spanning the wave function in a complete basis is a common practice in many-body interacting systems.We shall study the case of a two-dimensional quantum system composedof two interacting spin-less electrons and see that the correctness of the matrix approach depends inexplicably on the type of interaction existing between particles. Also, we shall extend the present study to other systems of specialinterest in order to illustrate the method.

    • Author Affiliations

       

      IHAB H NAEIM1 J BATLE2 S ABDALLA3

      1. Department of Physics, College of Science, Taibah University, Yanbu, Saudi Arabia
      2. Departament de Física, Universitat de les Illes Balears, 07122 Palma de Mallorca, Balearic Islands, Spain
      3. Department of Physics, Faculty of Science, King Abdulaziz University Jeddah, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    • Dates

       
  • Pramana – Journal of Physics | News

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