Asymptotic completeness for a quantum particle in a Markovian short range potential

Claude-Alain Pillet (1, 2, 3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 Intitut für Theoretische Physik
3 CPT - Centre de Physique Théorique - UMR 7332

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.

Mots clés: quantum mechanics; random potential; disordered system; scattering theory

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]; Algèbres quantiques [math.QA]; Théorie spectrale [math.SP]

Claude-Alain Pillet. Asymptotic completeness for a quantum particle in a Markovian short range potential. Communications in Mathematical Physics, 1986, 105, pp.259-280. ⟨hal-00005466⟩