Metastable lifetimes, level crossings and vertical cuts in quantum mechanics

L. S. Schulman, M. Stone, D. J. Wallace

Research output: Contribution to journalArticlepeer-review


The authors illustrate the relationship between square-root branch points of energy eigenvalues and the decay rates of metastable states in a simple model in quantum mechanics involving decay through a delta-function potential barrier. The 'infinite volume' limit of the cut-structure is found to have an interesting pathology.

Original languageEnglish (US)
Article number011
Pages (from-to)1933-1941
Number of pages9
JournalJournal of Physics A: Mathematical and General
Issue number10
StatePublished - 1978
Externally publishedYes

ASJC Scopus subject areas

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


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