Location of Repository

Spectral analysis of the semi-relativistic Pauli-Fierz hamiltonian

By Tadahiro Miyao and Herbert Spohn


We consider a charged particle, spin 1 2, with relativistic kinetic energy and minimally coupled to the quantized Maxwell field. Since the total momentum is conserved, the Hamiltonian admits a fiber decomposition as H(P), P ∈ R3. We study the spectrum of H(P). In particular we prove that, for non-zero photon mass, the ground state is exactly two-fold degenerate and separated by a gap, uniformly in P, from the rest of the spectrum. 1 Introduction and Main Results Let us consider a classical point charge, charge e, mass M, position q, velocity ˙q, coupled to the Maxwell field with electric field E and magnetic field B. The coupling to the field is through a rigid charge distribution ϕ: R 3 → R+ normalized as ∫ dxϕ(x) = 1. Then the equations of motion for the coupled system read, i

Year: 2008
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/0805.4776... (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.