Enhanced binding through coupling to a quantum field

Fumio Hiroshima, Herbert Spohn

Research output: Contribution to journalArticle

25 Citations (Scopus)


We consider an electron coupled to the quantized radiation field in the dipole approximation. Even if the Hamiltonian has no ground state at zero coupling, α = 0, the interaction with the quantized radiation field may induce binding. Under suitable assumptions on the external potential, we prove that there exists a critical constant α* ≥ 0 such that the Hamiltonian has a unique ground state for arbitrary α| > α*. Moreover an explicit lower bound αc of α* is given.

Original languageEnglish
Pages (from-to)1159-1187
Number of pages29
JournalAnnales Henri Poincare
Issue number6
Publication statusPublished - Dec 1 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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