• The solution of the Schrödinger equation for coupled quadratic and quartic potentials in two dimensions

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    • Keywords

       

      Schrödinger equation; ground state; excited states; eigenvalues; eigenfunc-tions.

    • Abstract

       

      We deal with the difficulties claimed by the author of [Ann. Phys. 206, 90 (1991)] while solving the Schrödinger equation for the ground states of two-dimensional anharmonic potentials. It is shown that the ground state energy eigenvalues and eigen-functions for the coupled quadratic and quartic potentials can be obtained by making some simple assumptions. Expressions for the energy eigenvalues and the eigenfunctions for the first and second excited states of these systems are also obtained.

    • Author Affiliations

       

      Ram Mehar Singh1 Fakir Chand2 S C Mishra2

      1. Department of Physics, Ch. Devi Lal University, Sirsa 125 055, India
      2. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India
    • Dates

       
  • Pramana – Journal of Physics | News

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