A generalization of the standard spin-boson model is considered. The Hamiltonian H(:) of the model with a coupling parameter : # R acts in the tensor product H F b of a Hilbert space H and the boson (symmetric) Fock space F b over L 2 (R & ). The existence and uniqueness of ground states of H(:) are
An Expression of the Ground State Energy of the Spin-Boson Model
β Scribed by Masao Hirokawa
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 270 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-1236
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β¦ Synopsis
An expression of the ground state energy E SB of the spin-boson Hamiltonian H SB is considered. The expression in the cases of both massive and massless bosons is given by a nonperturbative method. By using the expression, we show a necessary and sufficient condition with respect to a parameter G # [&1, 0] such that a formula with G attains to E SB .
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