Spectral Analysis of the Semi-relativistic Pauli-Fierz Hamiltonian

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dc.creatorMiyao, Tadahiro
dc.creatorSpohn, Herbert
dc.date2008-05-30
dc.date.accessioned2026-07-07T09:41:54Z
dc.date.available2026-07-07T09:41:54Z
dc.descriptionWe 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 $H(P)$, $P\in \BbbR^3$. 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.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/0805.4776
dc.identifierhttp://arxiv.org/abs/0805.4776
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161991
dc.subjectMathematical Physics
dc.titleSpectral Analysis of the Semi-relativistic Pauli-Fierz Hamiltonian
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