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

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1 Scattering

1.1 Wave properties of electrons

Quantum mechanics teaches us that each and every particle also exists as a wave. Wave properties of macroscopic particles, such as brickstones, sand grains, and even DNA molecules, are hardly noticeable to us; we deal with them at a spatial scale much bigger than their wavelength. Electrons are remarkable exceptions. Their wavelength is a fraction of a nanometer in metals and can reach a fraction of a micrometer in semiconductors. We cannot ignore the wave properties of electrons in nanostructures of this size. This is the central issue in quantum transport, and we start the book with a short ...

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