The bose molecule in one dimension

Joseph P. Straley, Eugene B. Kolomeisky, Stephen C. Milne

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations


We give the Green function, momentum distribution, two-particle correlation function, and structure factor for the bound state of N indistinguishable bosons with an attractive delta-function interaction in one dimension, and an argument showing that this boson "molecule" has no excited states other than dissociation into separated pieces.

Original languageEnglish
Pages (from-to)1579-1596
Number of pages18
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - 2004

Bibliographical note

Funding Information:
This work was supported by the Thomas F. Jeffress and Kate Miller Jeffress Memorial Trust (EBK), the Chemical Sciences, Geosciences and Biosciences Division, Office of Basic Energy Sciences, U.S. Department of Energy (EBK), and by the Algebra, Number Theory, and Combinatorics Program, Division of Mathematical Sciences, National Science Foundation (SCM). We thank Susan Gardner for some useful observations.


  • Boson
  • Green function
  • Momentum distribution
  • One dimension
  • Pair distribution
  • Structure factor

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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