A unified treatment of Schrodinger's equation for anharmonic and double well potentials

B. L. Burrows*, M. Cohen, T. Feldmann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The authors exploit some exact soluble model potentials VN( alpha , beta )=V(A,B)+ lambda x6 in order to extrapolate (as lambda to 0) reliable eigenvalues of the one-dimensional Schrodinger equations with either anharmonic or symmetric double well potentials of the form V(A,B)=1/2Ax2+Bx2 (B>0). Their procedure, which corresponds to low-order Rayleigh-Schrodinger perturbation theory, is found to be competitive with both high-order Pade summation of conventional RSPT and large-scale variational calculations using harmonic oscillators basis functions.

Original languageEnglish
Article number019
Pages (from-to)1303-1313
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume22
Issue number9
DOIs
StatePublished - 1989

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