Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
34 (1993), S. 3878-3886
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The spectral properties of a Hamiltonian dependent on a parameter α are investigated. Due to the linearity in momentum and periodicity it was possible to strengthen some known results for the analogous kicked model. It is rigorously shown that, for any potential in a "large'' set, the spectrum is pure for each fixed value of α. Depending on the arithmetic character of α the spectrum is pure absolutely continuous, pure singular continuous, or pure point. It is also shown that in some sense the classical dynamics is identical to the quantum one.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530012
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