Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

F. Hiroshima, H. Spohn

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian H. There is no external potential and H fibers as ∫ Hpdp according to the total momentum p. We prove that the ground state subspace of Hp is two-fold degenerate provided the charge e and the total momentum p are sufficiently small. We also establish that the total angular momentum of the ground state subspace is ±1/2 and study the case of a confining external potential.

Original languageEnglish
Pages (from-to)1091-1104
Number of pages14
JournalAdvances in Theoretical and Mathematical Physics
Issue number6
Publication statusPublished - Nov 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)


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