Mathematical Scattering Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Scattering Theory write by Baumgärtel. This book was released on 2013-12-11. Mathematical Scattering Theory available in PDF, EPUB and Kindle. The aim of this book is to give a systematic and self-contained presentation of the Mathematical Scattering Theory within the framework of operator theory in Hilbert space. The term Mathematical Scattering Theory denotes that theory which is on the one hand the common mathematical foundation of several physical scattering theories (scattering of quantum objects, of classical waves and particles) and on the other hand a branch of operator theory devoted to the study of the behavior of the continuous part of perturbed operators (some authors also use the term Abstract Scattering Theory). EBBential contributions to the development of this theory are due to K. FRIEDRICHS, J. CooK, T. KATo, J. M. JAuCH, S. T. KURODA, M.S. BmMAN, M.G. KREiN, L. D. FAD DEEV, R. LAVINE, W. 0. AMREIN, B. SIMoN, D. PEARSON, V. ENss, and others. It seems to the authors that the theory has now reached a sufficiently developed state that a self-contained presentation of the topic is justified.
Mathematical Theory of Scattering Resonances
Mathematical Theory of Scattering Resonances - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Scattering Resonances write by Semyon Dyatlov. This book was released on 2019-09-10. Mathematical Theory of Scattering Resonances available in PDF, EPUB and Kindle. Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.
Mathematical Scattering Theory
Mathematical Scattering Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Scattering Theory write by D. R. Yafaev. This book was released on 1992-09-09. Mathematical Scattering Theory available in PDF, EPUB and Kindle. Preliminary facts Basic concepts of scattering theory Further properties of the WO Scattering for relatively smooth perturbations The general setup in stationary scattering theory Scattering for perturbations of trace class type Properties of the scattering matrix (SM) The spectral shift function (SSF) and the trace formula
Scattering Theory of Classical and Quantum N-Particle Systems
Scattering Theory of Classical and Quantum N-Particle Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Scattering Theory of Classical and Quantum N-Particle Systems write by Jan Derezinski. This book was released on 2013-03-09. Scattering Theory of Classical and Quantum N-Particle Systems available in PDF, EPUB and Kindle. This monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in the classical and quantum mechanics of N-particle systems. Particular attention is paid to long-range potentials. For a large class of interactions the existence of the asymptotic velocity and the asymptotic completeness of the wave operators is shown. The book is self-contained and explains in detail concepts that deepen the understanding. As a special feature of the book, the beautiful analogy between classical and quantum scattering theory (e.g., for N-body Hamiltonians) is presented with deep insight into the physical and mathematical problems.
Geometric Scattering Theory
Geometric Scattering Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Scattering Theory write by Richard B. Melrose. This book was released on 1995-07-28. Geometric Scattering Theory available in PDF, EPUB and Kindle. These lecture notes are intended as a non-technical overview of scattering theory.
