Enhanced binding through coupling to a quantum field

Fumio Hiroshima, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

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 - 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


Dive into the research topics of 'Enhanced binding through coupling to a quantum field'. Together they form a unique fingerprint.

Cite this