• Modified Hill determinant approach to the eigenvalues of the anharmonic oscillator

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      https://www.ias.ac.in/article/fulltext/pram/037/01/0013-0020

    • Keywords

       

      Anharmonic oscillator; variational parameter; Hill determinant; matrix diagonalization

    • Abstract

       

      The unperturbed Hamiltonian of quantum anharmonic oscillator is modified by introducing a simple variational scale parameter. A suitable choice of this parameter makes the eigenvalues rapidly convergent for small size of the determinant in the method of infinite Hill determinant. Simple analytic expressions for the eigenvalues are obtained by matrix diagonalization method.

    • Author Affiliations

       

      R N Chaudhuri1 M Mondal1

      1. Department of Physics, Visva-Bharati University, Santiniketan - 731 235, India
    • Dates

       
  • Pramana – Journal of Physics | News

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