Transport properties in resonant tunneling heterostructures
Journal Article
·
· Journal of Mathematical Physics
- Dipartimento di Fisica, Universita di Roma ``La Sapienza,`` Piazzale A. Moro 2, 00185 Roma (Italy)
- Centre de Mathematique, Ecole Polytechnique, F-91128 Palaiseau Cedex (France)
An adiabatic approximation in terms of instantaneous resonances to study the steady-state and time-dependent transport properties of interacting electrons in biased resonant tunneling heterostructures is used. This approach leads, in a natural way, to a transport model of large applicability consisting of reservoirs coupled to regions where the system is described by a nonlinear Schr{umlt o}dinger equation. From the mathematical point of view, this work is nonrigorous but may offer some fresh and interesting problems involving semiclassical approximation, adiabatic theory, nonlinear Schr{umlt o}dinger equations, and dynamical systems. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 385653
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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