Absence of bound states and asymptotic completeness are proven for a quantum particle in a time dependent random (Markovian) short range potential . Systems with confining potentials are also considered and unboundedness of the energy in time is shown.
Publié le : 1986-07-05
Classification:
quantum mechanics,
random potential,
disordered system,
scattering theory,
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],
[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],
[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP]
@article{hal-00005466,
author = {Pillet, Claude-Alain},
title = {Asymptotic completeness for a quantum particle in a Markovian short range potential},
journal = {HAL},
volume = {1986},
number = {0},
year = {1986},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00005466}
}
Pillet, Claude-Alain. Asymptotic completeness for a quantum particle in a Markovian short range potential. HAL, Tome 1986 (1986) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005466/