Exact solutions to the Schrödinger equation for the potential V(r) = ar2 + br-4 + cr-6 in two dimensions

Shi Hai Dong, Zhong Qi Ma

Research output: Contribution to journalArticlepeer-review

68 Scopus citations

Abstract

Making use of an ansatz for the eigenfunctions, we obtain an exact closed-form solution to the non-relativistic Schrödinger equation with the anharmonic potential, V(r) = ar2 + br-4 + cr-6 in two dimensions, where the parameters of the potential, a, b and c satisfy some constraints.

Original languageEnglish
Pages (from-to)9855-9859
Number of pages5
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number49
DOIs
StatePublished - 11 Dec 1998
Externally publishedYes

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