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Open Quantum Systems Decoherence Quantum Chemistry

Time-dependent approach to transport and scattering in atomic and mesoscopic physics

arXiv
Authors: Tobias Kramer

Year

2010

Paper ID

10433

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schrodinger 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.

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  • This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • Transport and scattering phenomena in open quantum-systems with a continuous energy spectrum are conveniently solved using the time-dependent Schrodinger equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1011.3194 [2] arXiv https://arxiv.org/abs/1011.3194 [3] Publisher https://arxiv.org/abs/1011.3194

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