Time-dependent approach to transport and scattering in atomic and mesoscopic physics
- Institut fuer Theoretische Physik, Universitaet Regensburg, 93040 Regensburg (Germany)
Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schroedinger equation. In the time-dependent picture, the evolution of an initially localized wave-packet reveals the eigenstates and eigenvalues of the system under consideration. We discuss applications of the wave-packet method in atomic, molecular, and mesoscopic systems and point out specific advantages of the time-dependent approach. In connection with the familiar initial value formulation of classical mechanics, an intuitive interpretation of transport emerges. For interacting many-particle systems, we discuss the efficient calculation of the self-consistent classical transport in the presence of a magnetic field.
- OSTI ID:
- 21511469
- Journal Information:
- AIP Conference Proceedings, Vol. 1334, Issue 1; Conference: Latin-American school of physics: Symmetries in physics, Mexico City (Mexico), 26 Jul - 6 Aug 2010; Other Information: DOI: 10.1063/1.3575532; (c) 2011 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
CLASSICAL MECHANICS
EIGENSTATES
EIGENVALUES
ENERGY SPECTRA
EVOLUTION
MAGNETIC FIELDS
OPEN CONFIGURATIONS
PARTICLES
SCATTERING
SCHROEDINGER EQUATION
TIME DEPENDENCE
WAVE PACKETS
DIFFERENTIAL EQUATIONS
EQUATIONS
MAGNETIC FIELD CONFIGURATIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPECTRA
WAVE EQUATIONS