Spectral analysis of the semi-relativistic Pauli-Fierz hamiltonian

  • Miyao T
  • Spohn H
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Abstract

We consider a charged particle, spin frac(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. © 2008 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Ground state of fixed total momentum
  • Semi-relativistic quantum electrodynamics

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