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The Landauer-Büttiker Formula and Resonant Quantum Transport

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Mathematical Physics of Quantum Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 690))

Abstract

We give a short presentation of two recent results. The first one is a rigorous proof of the Landauer-Büttiker formula, and the second one concerns resonant quantum transport. The detailed results are in [2]. In the last section we present the results of some numerical computations on a model system.

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References

  1. W. Aschbacher, V. Jaksic, Y. Pautrat, C.-A. Pillet: Introduction to non-equilibrium quantum statistical mechanics Preprint, 2005.

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  2. H.D. Cornean, A. Jensen, and V. Moldoveanu: A rigorous proof of the Landauer-Büttiker formula. J. Math. Phys. 46, 042106 (2005).

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  3. S. Datta: Electronic transport in mesoscopic systems Cambridge University Press, 1995.

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Cornean, H.D., Jensen, A., Moldoveanu, V. (2006). The Landauer-Büttiker Formula and Resonant Quantum Transport. In: Asch, J., Joye, A. (eds) Mathematical Physics of Quantum Mechanics. Lecture Notes in Physics, vol 690. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34273-7_6

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