Spectral Analysis of the Spin-Boson Hamiltonian with Two Photons for Arbitrary Coupling

Ibrogimov Orif O.

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Spectral Analysis of the Spin-Boson Hamiltonian with Two Photons for Arbitrary Coupling

机译：两个光子的旋转玻色子汉密尔顿的光谱分析，用于任意耦合

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We study the spectrum of the spin-boson model with two photons in Rd for arbitrary coupling alpha 0. It is shown that the discrete spectrum is finite and the essential spectrum consists of a half-line, the bottom of which is a unique zero of a simple Nevanlinna function. Besides the simplicity and more abstract nature of our approach, the main novelty is the achievement of these results under minimal regularity conditions on the photon dispersion and the coupling function.

机译：我们研究了旋转玻色子模型的光谱，在Rd中的两个光子进行任意耦合α＆图0示出了离散频谱是有限的，并且基本谱由半线组成，底部是简单的内瓦诺·林纳函数的唯一零。除了我们方法的简单性和更抽象的性质之外，主要新奇是在光子色散和耦合功能上的最小规律条件下实现这些结果。

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《Annales Henri Poincare》 |2018年第11期|共19页
作者
Ibrogimov Orif O.;
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UCL Dept Math Gower St London WC1E 6BT England;

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正文语种 eng
中图分类理论物理学;
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1. Spectral Analysis of the Spin-Boson Hamiltonian with Two Photons for Arbitrary Coupling [J] . Ibrogimov Orif O. Annales Henri Poincare . 2018,第11期

机译：两个光子的旋转玻色子汉密尔顿的光谱分析，用于任意耦合
2. On the spectral properties of the spin-boson Hamiltonians [J] . De Monvel AB., Sahbani J. Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 1998,第1期

机译：关于自旋玻色子哈密顿量的光谱性质
3. Integrable coupling hierarchy and Hamiltonian structure for a matrix spectral problem with arbitrary-order [J] . Yaning Tang, Wen-Xiu Ma, Wei Xu, Communications in Nonlinear Science and Numerical Simulation . 2012,第2期

机译：任意阶矩阵谱问题的可积耦合层次和哈密顿结构
4. Rapid analysis of large arbitrarily shaped open-ended cavities using a spatial domain decomposition with spectral coupling field representation [C] . Zelig, M., Heyman, E., Boag, A. IEEE Antennas and Propagation Society International Symposium;APSURSI '09 . 2009

机译：使用频谱耦合场表示的空间域分解快速分析任意形状的大开口腔
5. New approaches to time-dependent systems: (I)~Filter diagonalization: A general approach for spectral analysis. (II)~Photoabsorption probability for a system governed by a time-dependent Hamiltonian through the (t,t') formalism. [D] . Pang, Johnny W. 1997

机译：时间相关系统的新方法：（I）〜滤波器对角化：频谱分析的通用方法。（II）〜通过（t，t'）形式主义由时变哈密顿量控制的系统的光吸收概率。
6. Feasibility of photon-counting spectral CT in dental applications—a comparative qualitative analysis [O] . L. Vanden Broeke, M. Grillon, A. W. K. Yeung, 2021

机译：牙科应用中光子计数光谱CT的可行性 - 比较定性分析
7. Ergodicity of the Spin-Boson Model for arbitrary coupling strength [O] . Koenenberg, Martin, Merkli, Marco, Song, Haifeng 2014

机译：任意耦合强度的自旋 - 玻色子模型的遍历性
8. Hamiltonian Tomography for Quantum Many-Body Systems with Arbitrary Couplings. [R] . Wang, S., Deng, D., Duan, L. 2015

机译：具有任意耦合的量子多体系统的哈密顿层析成像。

Spectral Analysis of the Spin-Boson Hamiltonian with Two Photons for Arbitrary Coupling

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