Titlebook: Quantum Chaos and Mesoscopic Systems; Mathematical Methods Norman E. Hurt Book 1997 Springer Science+Business Media Dordrecht 1997 Signatur

兽皮

Dissolving Eigenvalues,is a discrete subgroup of .(2, .). The spectrum of the Laplacian on . consists of a continuous part filling [1/4, .) and a discrete set of eigenvalues of which only finitely many are less than or equal to 1/4.

方舟

Mesoscopic Structures,n much less than λ, the wave length. Microwave billiards have allowed physicists to experimentally study the transition from integrable to chaotic systems where the spectral statistics changes from Poisson to GOE.

情感

Signatures of Quantum Chaos, all was well; v., Boghigas, Giannoni and Schmit (1986) for the Sinai billiard and the stadium billiard, Berry and Tabor (1977) for integrable systems; also note, McDonald and Kaufmann (1988), Berry (1981, 1985), Berry and Robnick (1986), Seligman, Verbarshoot and Zirnbauer (1985) and Berry and Mond

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Modicum

Error Terms,aology. In addition, Berry and coworkers have developed very formally the analogies of the theory of the Riemann zeta function and work in periodic orbit theory, as we have outlined earlier. A classical object of study in number theory is the counting function .(.) = ∑. 1; i.e., the staircase functi

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Co-Finite Model for Quantum Chaology,rete subgroup of .(2, .). The spectrum of the Laplacian Δ, or the Schrödinger equation Δ. + λ., on . has been studied by Selberg, Roelcke, Elstrodt and others. More recently, the geodesic triangle spaces, in particular the Artin’s billiards model, have played a basic role in quantum chaology i

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割让

Wigner Time Delay,se. The semiclassical expansion of the Wigner time delay was developed by Balian and Bloch (1974). Several results on the semiclassical expansion of the time delay and on the Wigner time delay in stochastic scattering have been developed recently. In particular, results related to the Wigner time de

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Scattering Theory for Leaky Tori,the leaky tori models of Gutzwiller. In addition, they form a natural generalization of locally symmetric spaces of constant negative curvature and finite volume. In this chapter we review Müller’s spaces in Section 1. In Section 2 scattering operators are developed. In Section 3 Weyl’s law for meso