The effective potential in quantum mechanics

T. L. Curtright, C. B. Thorn

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


General properties of the effective potential are discussed for quantum mechanical systems with a single degree of freedom. These properties are illustrated using specific one-dimensional potential models. In particular, it is stressed that the ground state for a system can exist even when the effective potential decreases monotonically towards a unique finite minimum at infinite (x).

Original languageEnglish (US)
Pages (from-to)541-548
Number of pages8
JournalJournal of Mathematical Physics
Issue number3
StatePublished - Jan 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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