On the Spectral Properties of the Spin-Boson Hamiltonians

被引：0
|
作者：
Anne Boutet de Monvel
Jaouad Sahbani
机构：
[1] Université,Institut de Mathématiques de Jussieu, CNRS UMR 9994, Laboratoire de Physique mathématique et Géométrie, case 7012
来源：
Letters in Mathematical Physics | 1998年 / 44卷
关键词：
spin-boson; conjugate operator.;
D O I：
暂无
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学科分类号：
摘要：
We analyze the spectral properties of the spin-boson model, describing a two level atom coupled to a boson field. We show that a limiting absorption principle holds, and there is no singularly continuous spectrum for this Hamiltonian outside some small neighborhoods of the eigenvalues of the spin matrix. For this, we construct a conjugate operator for a special class of self-adjoint operators.
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页码：23 / 33
页数：10
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