By Katsuhiro Nakamura
Dynamics of billiard balls and their function in physics have bought broad realization. Billiards can these days be created as quantum dots within the microscopic international permitting one to envisage the so-called quantum chaos, (i.e.: quantum manifestation of chaos of billiard balls). actually, as a result of fresh development in complicated expertise, nanoscale quantum dots, akin to chaotic stadium and antidot lattices analogous to the Sinai Billiard, may be fabricated on the interface of semiconductor heterojunctions. This ebook starts ite exploration of the impact of chaotic electron dynamics on ballistic quantum delivery in quantum dots with a complicated scan on resistance fluctuations for stadium and circle dots. in the course of the textual content, significant awareness is paid to the semiclassical conception which makes it attainable to interpret quantum phenomena within the language of the classical global. Chapters one to 4 are thinking about the uncomplicated statistical equipment (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and break out rate), that are wanted for a semiclassical description of shipping in quantum dots. Chapters 5 to 10 talk about the topical matters within the box, together with the ballistic susceptible localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, chronic present, Arnold diffusion and Coulomb blockade.
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