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Quantum Transport by Yaroslav M. Blanter, Yuli V. Nazarov

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2 Classical and semiclassical transport

We devoted Chapter 1 to a purely quantum-mechanical approach to electron transport: the scattering approach. Electrons were treated as quantum waves that propagate between reservoirs – the contact pads of a nanostructure. The waves experience scattering, and the transport properties are determined by the scattering matrix of these waves. As we have seen, this approach becomes progressively impractical with the increasing number of transport channels, and can rarely be applied for image where G is the conductance of the system.

A different starting point is well known from general physics, or, more simply, ...

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