An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances - Archive ouverte HAL
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2010

An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances

Résumé

This paper is concerned with a linearized version of the transport problem where the Schr\"{o}dinger-Poisson operator is replaced by a non-autonomous Hamiltonian, slowly varying in time. We consider an explicitly solvable model where a semiclassical island is described by a flat potential barrier, while a time dependent 'delta' interaction is used as a model for a single quantum well. Introducing, in addition to the complex deformation, a further modification formed by artificial interface conditions, we give a reduced equation for the adiabatic evolution of the sheet density of charges accumulating around the interaction point.

Dates et versions

hal-00492984 , version 1 (17-06-2010)

Identifiants

Citer

Ali Faraj, Andrea Mantile, Francis Nier. An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Journal of Physics A: Mathematical and Theoretical, 2010, 43 (47), 28 p. ⟨10.1088/1751-8113/43/47/474025⟩. ⟨hal-00492984⟩
341 Consultations
0 Téléchargements

Altmetric

Partager

More