On the non-relativistic limit of a model in quantum electrodynamics

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dc.creatorStockmeyer, Edgardo
dc.date2009-05-07
dc.date.accessioned2026-07-07T13:12:38Z
dc.date.available2026-07-07T13:12:38Z
dc.descriptionWe consider a (semi-)relativistic spin-1/2 particle interacting with quantized radiation. The Hamiltonian has the form $\hat{H}_c^V:=\{c^2[(\mathbf{p}+{\bf A})^2+{\bf σ}\cdot{\bf B}]+(mc^2)^2\}^{1/2}-mc^2+V+H_f$. Assuming that the potential $|V|$ is bounded with respect to the momentum $|\mathbf{p}|$, we show that $\hat{H}_c^V$ converges in norm-resolvent sense to the usual Pauli-Fierz operator when $c$, the speed of light, tends to $\infty$.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0905.1006
dc.identifierhttp://arxiv.org/abs/0905.1006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229638
dc.subjectMathematical Physics
dc.subject81Q10
dc.titleOn the non-relativistic limit of a model in quantum electrodynamics
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