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1990). 28) where I and I' are action variables associated with initial (n) and final (n') channels, respectively, and is the angle variable conjugate to I, while (s) and 2µ s / are reduced action and Maslov index, respectively, with {s} representing all scattering orbits connecting I and I'. The pre-exponential factor is understood as a square-root of a classical . s. becomes vanishing small owing to the destructive phase interference. 30) where PII'(E,t) dt is the probability of a sojourn time falling between t~t+dt and shows a mild dependence on E.

Marcus, C. , Rimberg, A. , Westervelt, R. , Hopkins, P. , and Gossard, A. C. (1992). Phys. Rev. Lett. 69, 506. Miller, W. H. (1975). Adv. Chem. Phys. 30, 77. Sinai, Y. G. (1976). Introduction to Ergodic Theory. Princeton: Princeton University Press. , and Altshuler, B. L. (1993). Phys. Rev. Lett. 70, 587. Chapter 3 Pseudo-Chaos Without Classical Counterpart in One-Dimensional Quantum Transport While there exists no genuine chaos in quantum systems due to the linearity of Schrödinger equation, we show in this chapter two interesting examples of pseudo-chaos in 1-dimensional (1-d) quantum transport.

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