On the existence and uniqueness of ground states of a generalized spin-boson model
On the existence and uniqueness of ground states of a generalized spin-boson model
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DOI：
10.1006/jfan.1997.3140
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发表时间：
1997-12-15
影响因子：
1.7
通讯作者：
Hirokawa, M
中科院分区：
文献类型：
--
作者：
Arai, A;Hirokawa, M
标准自旋玻色子模型的推广被认为是。具有耦合参数α的模型的哈密顿量H（α）是作用在L-2（R-v）上的希尔伯特空间H和玻色子（对称）Fock空间F-b的张量积H x F-b中的R的元素。研究了H（α）基态的存在唯一性.并讨论了基态的简并性。所得结果是非微扰的。所使用的方法是建设性量子场论和最小-最大原理。建立了H（α）的基态能量在α>无穷大时的精确渐近公式. (C)北京：科学出版社.
A generalization of the standard spin-boson model is considered. The Hamiltonian H(alpha) of the model with a coupling parameter alpha is an element of R acts in the tensor product H x F-b of a Hilbert space H and the boson (symmetric) Fock space F-b over L-2(R-v). The existence and uniqueness of ground stales of H(alpha) are investigated. The degeneracy of the ground states is also discussed. The results obtained are nonperturbative. The methods used are those of constructive quantum field theory and the min-max principle. An exact asymptotic formula for the ground state energy of H(alpha) as \alpha\ --> infinity is also established. (C) 1997 Academic Press.