TY - JOUR
T1 - Fiber Hamiltonians in non-relativistic quantum electrodynamics
AU - Hiroshima, Fumio
PY - 2007/11/1
Y1 - 2007/11/1
N2 - A translation invariant Hamiltonian H of non-relativistic quantum electrodynamics is studied. This Hamiltonian is decomposed with respect to the total momentum PT:H = underover(∫, Rd, ⊕) H (P) d P, where the self-adjoint fiber Hamiltonian H (P) is defined for arbitrary values of coupling constants. The relationship between rotation invariance of H (P) and polarization vectors is discussed, and functional integral representations of n-point Euclidean Green functions of H (P) are given. From these, applications into the degeneracy of ground states, ground state energy and expectation values of suitable observables with respect to ground states are given.
AB - A translation invariant Hamiltonian H of non-relativistic quantum electrodynamics is studied. This Hamiltonian is decomposed with respect to the total momentum PT:H = underover(∫, Rd, ⊕) H (P) d P, where the self-adjoint fiber Hamiltonian H (P) is defined for arbitrary values of coupling constants. The relationship between rotation invariance of H (P) and polarization vectors is discussed, and functional integral representations of n-point Euclidean Green functions of H (P) are given. From these, applications into the degeneracy of ground states, ground state energy and expectation values of suitable observables with respect to ground states are given.
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U2 - 10.1016/j.jfa.2007.06.006
DO - 10.1016/j.jfa.2007.06.006
M3 - Article
AN - SCOPUS:34648813559
VL - 252
SP - 314
EP - 355
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 1
ER -