Adiabatic Evolution for Systems with Infinitely many Eigenvalue Crossings
Joye, A. ; Monti, F. ; Guerin, S. ; Jauslin, H. R.
arXiv, 9812024 / Harvested from arXiv
Text on arXiv
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 spectral projector, and some geometric hypothesis on the local behaviour of the eigenvalues at the crossings.
Publié le : 1998-12-23
Classification:  Mathematical Physics 
@article{9812024,
     author = {Joye, A. and Monti, F. and Guerin, S. and Jauslin, H. R.},
     title = {Adiabatic Evolution for Systems with Infinitely many Eigenvalue
  Crossings},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812024}
}

Joye, A.; Monti, F.; Guerin, S.; Jauslin, H. R. Adiabatic Evolution for Systems with Infinitely many Eigenvalue
  Crossings. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812024/