Eigenvalue asymptotics of a modified Jaynes-Cummings model with periodic modulations;Effet de modulations périodiques sur l'asymptotique des valeurs propres d'une variante du modèle de Jaynes-Cummings

Comptes Rendus Mathematique

Volumn 338, Issue 1, 2004, Pages 103-107

  Boutet de Monvel, Anne ^a   Naboko, Serguei ^b   Silva, Luis O ^c  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^c Ciudad Universitaria   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742306729     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.12.001     Document Type: Article

References (7)

1. Boutet de Monvel, A. Naboko, S. Silva, L. The asymptotic behavior of eigenvalues of a modified Jaynes-Cummings model, Preprint 2003:11 LUTFMA-5027-2003, Lund University, Lund, 2003
2. Janas, J. Naboko, S.N. Infinite Jacobi matrices with unbounded entries. Asymptotics of eigenvalues and the transformation operator approach, Preprint 2002:9 LUTFMA-5017-2002, Lund University, Lund, 2002
3. Kato T. Perturbation Theory for Linear Operators Second edition Grundlehren Math. Wiss. vol. 132 1980 Springer-Verlag Berlin
4. Lo C.F. Liu K.L. Ng K.M. The multiquantum intensity-dependent Jaynes-Cummings model with the counterrotating terms Physica A 265 1999 557-564
5. Ng K.M. Lo C.F. Liu K.L. Exact eigenstates of the two-photon Jaynes-Cummings model with the counter-rotating term Eur. Phys. J. D 6 1998 119-126
6. Rozenbljum G.V. Almost similarity of operators and spectral asymptotics of pseudodifferential operators on a circle Trans. Moscow Math. Soc. 2 1979 57-82
7. Tur E.A. Jaynes-Cummings model: solutions without rotating-wave approximation Opt. Spectrosc. (USSR) 89 2000 574-588