|
This article is cited in 2 scientific papers (total in 2 papers)
Dressing method in matter $+$ radiation quantum models
S. B. Leble Technical University of Gdańsk
Abstract:
We consider spectral problems related to Dicke and Jaynes–Cummings
matter–radiation Hamiltonians and write the spectrum of a perturbed Dicke
model (of a trapped ion interacting with the center-of-mass motion)
in explicit form. We derive the dressing chain equations for non-Abelian
elements and investigate them for two-state matter models. We discuss
embedding of Jaynes–Tavis–Cummings models and nonrotating wave terms.
Keywords:
Darboux transformation, dressing chain equation, Jaynes–Cumming model, Dicke model, matrix shape invariant potential.
Citation:
S. B. Leble, “Dressing method in matter $+$ radiation quantum models”, TMF, 152:1 (2007), 118–132; Theoret. and Math. Phys., 152:1 (2007), 977–990
Linking options:
https://www.mathnet.ru/eng/tmf6074https://doi.org/10.4213/tmf6074 https://www.mathnet.ru/eng/tmf/v152/i1/p118
|
Statistics & downloads: |
Abstract page: | 395 | Full-text PDF : | 213 | References: | 42 | First page: | 3 |
|