Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices
Djakov, Plamen ; Mityagin, Boris
arXiv, 0509030 / Harvested from arXiv
Text on arXiv
For tri-diagonal matrices arising in the simplified Jaynes--Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surface is irreducible.
Publié le : 2005-09-14
Classification:  Mathematical Physics,  Mathematics - Functional Analysis,  47B36 
@article{0509030,
     author = {Djakov, Plamen and Mityagin, Boris},
     title = {Trace formula and spectral Riemann surfaces for a class of tri-diagonal
  matrices},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509030}
}

Djakov, Plamen; Mityagin, Boris. Trace formula and spectral Riemann surfaces for a class of tri-diagonal
  matrices. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509030/