By H. M. Nussenzveig
Severe results in semiclassical mild scattering, during which the traditional approximations holiday down, are linked to ahead peaking, rainbows, glories, orbiting, and resonances. in addition to giving upward thrust to attractive optical results within the surroundings, severe results have vital purposes in lots of components of physics. Their interpretation and exact remedy, even if, are tricky. This booklet offers with the speculation of those severe results. After a initial bankruptcy posing the matter of severe results, the subsequent 3 chapters on coronae, rainbows, and glories, are written to be obtainable to a broader viewers of physicists. the most a part of the ebook then describes the implications bought from the applying of complicated angular momentum options to scattering through homogeneous spheres. those suggestions result in essentially usable asymptotic approximations, and to new actual insights into severe results. a brand new conceptual photo of diffraction, considered as a tunnelling impact, emerges. the ultimate chapters comprise short descriptions of functions to a vast variety of fields together with linear and nonlinear optics, radiative move, astronomy, acoustics, seismology, atomic, nuclear, and particle physics. This booklet intends to show the fundamental recommendations and actual interpretations that emerge from the hot technique, instead of the entire formalism.
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Extra info for Diffraction effects in semiclassical scattering
And Takane, Y. (1994). Phys. Rev. E50, 1700. Voss, R. , and Clarke, J. (1976). Phys. Rev. B13, 556. Weissman, M. B. (1988). Rev. Mod. Phys. 60, 537. Chapter 4 Chaos and Quantum Transport in Open Magnetic Billiards: from Stadium to Sinai Billiards Particle motion inside or outside billiards provides a prototype of chaos in conservative dynamical systems. In this chapter, chaos and quantum transport in magnetic billiards are investigated. First, theoretical and experimental studies are presented on quantum transport in weakly-opened circle and stadium billiards in the perpendicular magnetic field B.
The angle Chaos and Quantum Transport 51 Fig. 3. Notation of relevant vectors and angles for successive bouncings. t is tangent vector defined in counter-clockwise direction. between the tangent vector and velocity vector just after each bouncing and the distance s of the bouncing point measured along the billiard boundary. 2) with denoting the angle between t and an arbitrarily the billiard plane. 2). 3b) herein p =1 = ds/d is the radius of curvature at the bouncing point. ) DetM1,0=1 ensures the mapping to be area-preserving.
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