Fiber Hamiltonians in the non-relativistic quantum electrodynamics

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dc.creatorHiroshima, Fumio
dc.date2006-07-11
dc.date.accessioned2026-07-07T07:20:31Z
dc.date.available2026-07-07T07:20:31Z
dc.descriptionA translation invariant Hamiltonian $H$ in the nonrelativistic quantum electrodynamics is studied. This Hamiltonian is decomposed with respect to the total momentum $\tot$: $$H=\int_{\BR} ^\oplus \fri(P) dP,$$ where the self-adjoint fiber Hamiltonian $\fri(P)$ is defined for arbitrary values of coupling constants. It is discussed a relationship between rotation invariance of $H(P)$ and polarization vectors, and functional integral representations of $n$ point Euclidean Green functions of $H(P)$ is given. From these, some applications concerning with degeneracy of ground states, ground state energy and expectation values of suitable observables with respect to ground states are given.
dc.identifierhttps://arxiv.org/abs/math-ph/0607014
dc.identifierhttp://arxiv.org/abs/math-ph/0607014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114980
dc.subjectMathematical Physics
dc.titleFiber Hamiltonians in the non-relativistic quantum electrodynamics
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