Enhanced binding of an N-particle system interacting with a scalar bose field I

Fumio Hiroshima, Itaru Sasaki

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An enhanced binding of an N-particle system linearly coupled to a scalar bose field is investigated, where N ≥ 2. It is not assumed that this system has a ground state for a zero coupling. It is shown, however, that there exists a ground state for sufficiently large values of a coupling constant. Basic ingredients of the proof are a weak coupling limit and a modified HVZ theorem.

Original languageEnglish
Pages (from-to)657-680
Number of pages24
JournalMathematische Zeitschrift
Issue number3
Publication statusPublished - Jul 1 2008


All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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