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GROUND STATES OF A GENERAL CLASS OF QUANTUM FIELD HAMILTONIANS

GROUND STATES OF A GENERAL CLASS OF QUANTUM FIELD HAMILTONIANS

We consider a model of a quantum mechanical system coupled to a (massless) Bose field, called the generalized spin-boson model (A. Arai and M. Hirokawa, J. Funct. Anal. 151 (1997), 455–503), without infrared regularity condition. We define a regularized Hamiltonian H (ν) with a parameter ν ≥ 0 such that …