Existence of a ground state for the Nelson model with a singular perturbation

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Abstract

The existence of a ground state of the Nelson Hamiltonian with perturbations of the form σ4 j =1 cjφj with c4 ≥ 0 is considered. The self-adjointness of the Hamiltonian and the existence of a ground state are proven for arbitrary values of coupling constants.

Original languageEnglish
Article number022102
JournalJournal of Mathematical Physics
Volume52
Issue number2
DOIs
Publication statusPublished - Feb 3 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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