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

Fumio Hiroshima, Itaru Sasaki

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume259
Issue number3
DOIs
Publication statusPublished - Jul 1 2008

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Interacting Particle Systems
Ground State
Scalar
Weak Coupling
Particle System
Linearly
Zero
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Enhanced binding of an N-particle system interacting with a scalar bose field I. / Hiroshima, Fumio; Sasaki, Itaru.

In: Mathematische Zeitschrift, Vol. 259, No. 3, 01.07.2008, p. 657-680.

Research output: Contribution to journalArticle

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