Rayleigh-Schrodinger perturbation theory with a strong perturbation: Anharmonic oscillators

M. Cohen, S. Kais

Research output: Contribution to journalArticle

10 Citations (Scopus)


The bound state solutions of Schrodinger's equation for the anharmonic oscillator potentials V=x2+ lambda x2k (k=2,3, . . . ) have been investigated, using elementary techniques of low-order variational perturbation theory. For the quartic oscillator (k=2) a scaled harmonic potential provides a remarkably accurate model for all lambda . Although this model is slightly less satisfactory for higher-order anharmonicities (k>or=3), the perturbation procedures remain effective, and can be applied successfully provided that higher-order terms are calculated.

Original languageEnglish
Article number021
Pages (from-to)683-690
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number5
Publication statusPublished - 1 Dec 1986
Externally publishedYes


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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