 06194 Fumio Hiroshima
 Fiber Hamiltonians in the nonrelativistic quantum electrodynamics
(250K, dvi)
Jul 6, 06

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Abstract. A 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 selfadjoint 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.
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