Spectral analysis of the semi-relativistic Pauli-Fierz hamiltonian

9Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

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.

Cite

CITATION STYLE

APA

Miyao, T., & Spohn, H. (2009). Spectral analysis of the semi-relativistic Pauli-Fierz hamiltonian. Journal of Functional Analysis, 256(7), 2123–2156. https://doi.org/10.1016/j.jfa.2008.09.014

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free