Titlebook: Control of Magnetotransport in Quantum Billiards; Theory, Computation Christian V. Morfonios,Peter Schmelcher Book 2017 Springer Internati

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Summary, Conclusions, and Perspectives,adapted to open quantum billiard devices, for which the magnetotransport was then analyzed in dependence of the characteristics of the confining potential. Focusing on the interplay between the geometry of the setups and the effects of the magnetic field, it was investigated how special non-universa

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978-3-319-39831-0Springer International Publishing Switzerland 2017

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Mitteilungen über Forschungsarbeitenl extent this statement would be carried two centuries later with the establishment of quantum theory in the description of nature. The claim as such, expanded beyond its original context as the epitome of empiricism, indeed applies to what has become the standard concept by which the realm of the m

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,Einfluß des Riemenscheibendurchmessers,nate the properties of current-carrying electrons. Within this mesoscopic regime, the concept of an ‘open electron billiard’ is introduced as a prototype, idealized nanoelectronic transport device in which quantum coherence is maintained. Under the associated approximations to the system Hamiltonian

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https://doi.org/10.1007/978-3-662-01985-6sport are derived. To maintain a high flexibility in setup variations, the numerical computation is performed on a tight-binding grid upon which arbitrary device confining potentials can be defined. After a brief review of relevant computational schemes, we introduce the matrix form of the discretiz

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