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Journal of Mathematical Physics : Lower spectral branches of a spin-boson model

By Nicolae Angelescu, Robert A. Minlos, Jean Ruiz, and Valentin A. Zagrebnov

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Book Id: WPLBN0002169534
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 10 October 2008

Title: Journal of Mathematical Physics : Lower spectral branches of a spin-boson model  
Author: Nicolae Angelescu, Robert A. Minlos, Jean Ruiz, and Valentin A. Zagrebnov
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection, Journal of Mathematical Physics Collection
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Publisher: American Institute of Physics

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Robert A. Minlos, Jean Ruiz, And Valentin A. Zagrebno, N. A. (n.d.). Journal of Mathematical Physics : Lower spectral branches of a spin-boson model. Retrieved from http://www.comicbooklibrary.org/


Description
Description: We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive constant. We show that, for small coupling constant, the lower part of the spectrum of the spin-boson Hamiltonian contains (one or two) isolated eigenvalues and (one or two) manifolds of atom +1-boson states indexed by the boson momentum q. The dispersion laws and generalized eigenfunctions of the latter are calculated.

 
 



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