Levinson's theorem for non-local interactions

Tommy Dreyfus*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Two definitions of the scattering phase shift are given. For non-local interactions giving rise to continuum bound states, the two definitions yield different phase shifts. Accordingly two different versions of Levinson's theorem result; one of them takes the continuum bound states into account, the other one does not. The former is usually used by physicists, in spite of indications that the latter corresponds more closely to physical phenomena.

Original languageEnglish
Article number004
Pages (from-to)L187-L191
JournalJournal of Physics A: Mathematical and General
Issue number12
StatePublished - 1976
Externally publishedYes


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