Adiabatic evolution for systems with infinitely many eigenvalue crossings
Joye, Alain ; Monti, F. ; Guérin, S. ; Jauslin, H. R.
HAL, hal-01233203 / Harvested from HAL
Text on HAL
We formulate an adiabatic theorem adapted to models that present an instantaneous eigenvalue experiencing an infinite number of crossings with the rest of the spectrum. We give an upper bound on the leading correction terms with respect to the adiabatic limit. The result requires only differentiability of the considered projector, and some geometric hypothesis on the local behavior of the eigenvalues at the crossings.
Publié le : 1999-07-04
Classification:  [MATH]Mathematics [math] 
@article{hal-01233203,
     author = {Joye, Alain and Monti, F. and Guerin, S. and Jauslin, H. R.},
     title = {Adiabatic evolution for systems with infinitely many eigenvalue crossings},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01233203}
}

Joye, Alain; Monti, F.; Guérin, S.; Jauslin, H. R. Adiabatic evolution for systems with infinitely many eigenvalue crossings. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01233203/