Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

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dc.creatorHiroshima, F.
dc.creatorSpohn, H.
dc.date2002-05-13
dc.date.accessioned2026-07-07T04:29:11Z
dc.date.available2026-07-07T04:29:11Z
dc.descriptionWe 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 according to the total momentum $p$. We prove that the ground state subspace of $H$ with a total momentum $p$ 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 $\pm1/2$ and study the case of a confining external potential.
dc.identifierhttps://arxiv.org/abs/math-ph/0205018
dc.identifierhttp://arxiv.org/abs/math-ph/0205018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57065
dc.subjectMathematical Physics
dc.subject81Q10; 81U20
dc.titleGround state degeneracy of the Pauli-Fierz Hamiltonian with spin
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