Asymptotic behavior of large eigenvalues of Jaynes-Cummings type models

被引：7
|
作者：
de Monvel, Anne Boutet [1 ]
Zielinski, Lech [2 ]
机构：
[1] Univ Paris Diderot, Inst Math Jussieu PRG, Bat Sophie Germain,Case 7012, F-75205 Paris 13, France
[2] Univ Littoral, LMPA, 50 Rue Ferdinand Buisson,CS 80699, F-62228 Calais, France
来源：
JOURNAL OF SPECTRAL THEORY | 2017年 / 7卷 / 02期
关键词：
Jacobi matrices; Jaynes-Cummings model; eigenvalue estimates; UNBOUNDED JACOBI MATRICES; APPROXIMATION;
D O I：
10.4171/JST/172
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of unbounded self-adjoint operators including the Hamiltonian of the Jaynes-Cummings model without the rotating-wave approximation (RWA). The corresponding operators are defined by infinite Jacobimatriceswith discrete spectrum. Our purpose is to give the asymptotic behavior of large eigenvalues.
引用
收藏
页码：559 / 631
页数：73
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