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    • Eigenvalue spectra of a $\mathcal{PT}$ -symmetric coupled quartic potential in two dimensions

      Fakir Chand Savita S C Mishra

      Research Articles Volume 75 Issue 4 October 2010 pp 599-605

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/075/04/0599-0605

    • Keywords

       

      Schrödinger equation; ground state; excited state; $\mathcal{PT}$-symmetry; eigen-values; eigenfunctions.

    • Abstract

       

      The Schrödinger equation was solved for a generalized $\mathcal{PT}$-symmetric quartic potential in two dimensions. It was found that, under a suitable ansatz for the wave function, the system possessed real and discrete energy eigenvalues. Analytic expressions for the energy eigenvalues and the eigenfunctions for the first four states were obtained. Some constraining relations among the wave function parameters rendered the problem quasi-solvable.

    • Author Affiliations

       

      Fakir Chand1 Savita2 S C Mishra1

      1. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India
      2. Department of Physics, TERI, Kurukshetra 136 119, India

    • Dates

       
      Published
      October 2010
      Manuscript received
      2 March 2010
      Manuscript revised
      24 April 2010
      Accepted
      5 May 2010

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