Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach

Volker Betz, Fumio Hiroshima, József Lorinczi, Robert A. Minlos, Herbert Spohn

Research output: Contribution to journalArticle

26 Citations (Scopus)


The Nelson model describes a quantum particle coupled to a scalar Bose field. We study properties of its ground state through functional integration techniques in case the particle is confined by an external potential. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons, and on the position space distribution of the particle.

Original languageEnglish
Pages (from-to)173-198
Number of pages26
JournalReviews in Mathematical Physics
Issue number2
Publication statusPublished - Aug 26 2002


All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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