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    • Energy levels of a two-dimensional anharmonic oscillator: Hill determinant approach

      M R M Witwit

      Volume 41 Issue 6 December 1993 pp 493-502

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/041/06/0493-0502

    • Keywords

       

      Schrödinger equations; Hill determinant; numerical results

    • Abstract

       

      The energy levels of the Schrödinger equation for the potentialx2+y2+λ[axxx4+2axyx2y2+ayyy4] are calculated using Hill determinant approach for several eigenstates and over a wide range of values of perturbation parameters. The obtained numerical results agree with those previously reported by other methods.

    • Author Affiliations

       

      M R M Witwit1

      1. Department of Applied Mathematics, University of Hull, Hull - HU6 7RX, UK

    • Dates

       
      Published
      December 1993
      Manuscript received
      28 June 1993
      Manuscript revised
      8 September 1993

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