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- W2041506548 abstract "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 H = H (0) is the Hamiltonian of the original model. We clarify a relation between ground states of H (ν) and those of H by formulating sufficient conditions under which weak limits, as ν → 0, of the ground states of H (ν)'s are those of H. We also establish existence theorems on ground states of H (ν) and H under weaker conditions than in the previous paper mentioned above." @default.
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- W2041506548 date "2000-08-01" @default.
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- W2041506548 title "GROUND STATES OF A GENERAL CLASS OF QUANTUM FIELD HAMILTONIANS" @default.
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- W2041506548 doi "https://doi.org/10.1142/s0129055x00000393" @default.
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