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Book
The Semiclassical Way to Dynamics and Spectroscopy
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ISBN: 9781400890293 Year: 2018 Publisher: Princeton, NJ

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Book
The Semiclassical Way to Dynamics and Spectroscopy
Author:
ISBN: 1400890292 Year: 2018 Publisher: Princeton, NJ : Princeton University Press,

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A graduate-level text that examines the semiclassical approach to quantum mechanicsPhysical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples.  In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding.Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics.A comprehensive approach for using classical mechanics to do quantum mechanicsMore than two hundred figures to assist intuitionEmphasis on semiclassical Green function and wave packet perspective, as well as tunneling and spectroscopyChapters include quantum mechanics of classically chaotic systems, quantum scarring, and other modern dynamical topics

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Quantum theory.

The J-Matrix Method
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ISBN: 9781402060731 9781402060724 Year: 2008 Publisher: Dordrecht Springer Science+Business Media B.V.

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This volume aims to provide the fundamental knowledge to appreciate the advantages of the J-matrix method and to encourage its use and further development. The J-matrix method is an algebraic method of quantum scattering with substantial success in atomic and nuclear physics. The accuracy and convergence property of the method compares favourably with other successful scattering calculation methods. Despite its thirty-year long history new applications are being found for the J-matrix method. This book gives a brief account of the recent developments and some selected applications of the method in atomic and nuclear physics. New findings are reported in which experimental results are compared to theoretical calculations. Modifications, improvements and extensions of the method are discussed using the language of the J-matrix. The volume starts with a Foreword by the two co-founders of the method, E.J. Heller and H.A. Yamani and it contains contributions from 24 prominent international researchers.

The J-matrix method : developments and applications
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ISBN: 9781402060731 9781402060724 Year: 2008 Publisher: Dordrecht Springer Science+Business Media

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