• Stationary anharmonic oscillators in the particle-in-a-box basis: Near-exact results

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      https://www.ias.ac.in/article/fulltext/pram/043/02/0117-0128

    • Keywords

       

      Linear variations; anharmonic oscillators; eigenvalues; eigenfunctions; basis sets

    • Abstract

       

      Variational studies employing the basis functions of the quantal particle-in-a-box model are shown to lead to accurate estimates of eigenvalues, various expectation values and eigenfunctions of the stationary anharmonic oscillator problem. Calculations involve bothzx and (x2+zx)-type oscillators, withα=2, 3 and 4, both in weak and strong coupling regime. Apart from its recommendable computational simplicity, convergence of the present recipe has also been demonstrated to be quite fast. Results for the first ten states are reported. A few goodness tests for the approximate wavefunctions and consistency requirements for some properties are also performed.

    • Author Affiliations

       

      A K Chandra1 K Bhattacharyya1

      1. Department of Chemistry, Burdwan University, Burdwan - 713 104, India
    • Dates

       
  • Pramana – Journal of Physics | News

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