By Katsuhiro Nakamura
Dynamics of billiard balls and their function in physics have obtained huge awareness. 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). in truth, as a result of fresh development in complicated expertise, nanoscale quantum dots, reminiscent of chaotic stadium and antidot lattices analogous to the Sinai Billiard, should be fabricated on the interface of semiconductor heterojunctions. This e-book starts off ite exploration of the impression of chaotic electron dynamics on ballistic quantum shipping in quantum dots with a difficult test on resistance fluctuations for stadium and circle dots. through the textual content, significant consciousness is paid to the semiclassical thought which makes it attainable to interpret quantum phenomena within the language of the classical international. Chapters one to 4 are occupied with the undemanding statistical tools (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and get away 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 vulnerable localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, continual present, Arnold diffusion and Coulomb blockade.
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