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Semiclassical Mechanics with Molecular Applications

Semiclassical Mechanics with Molecular Applications
Author: M. S. Child
Publisher: OUP Oxford
Total Pages: 445
Release: 2014-08-21
Genre: Science
ISBN: 0191653845

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The second edition of an established graduate text, this book complements the material for a typical advanced graduate course in quantum mechanics by showing how the underlying classical structure is reflected in quantum mechanical interference and tunnelling phenomena, and in the energy and angular momentum distributions of quantum mechanical states in the moderate to large (10-100) quantum number regime. Applications include accurate quantization techniques for a variety of tunnelling and curve-crossing problems and of non-separable bound systems; direct inversion of molecular scattering and spectroscopic data; wavepacket propagation techniques; and the prediction and interpretation of elastic, inelastic and chemically reactive scattering. The main text concentrates less on the mathematical foundations than on the global influence of the classical phase space structures on the quantum mechanical observables. Further mathematical detail is contained in the appendices and worked problem sets are included as an aid to the student.


Semiclassical Mechanics with Molecular Applications

Semiclassical Mechanics with Molecular Applications
Author: Mark Sheard Child
Publisher:
Total Pages: 0
Release: 2023
Genre: Molecular spectroscopy
ISBN: 9781383028669

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Relates Newton's classical theory to modern quantum mechanics in a manner designed for the interpretation of experiments. This book gives a comprehensive account of the application of the theory to molecular systems, with particular attention paid to the problems of non-separability.


Semiclassical Mechanics with Molecular Applications

Semiclassical Mechanics with Molecular Applications
Author: M. S. Child
Publisher:
Total Pages: 433
Release: 2014
Genre: Molecular spectroscopy
ISBN: 9780191783227

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Semiclassical mechanics, which stems from the old quantum theory, has seen a remarkable revival in recent years as a physically intuitive and computationally accurate scheme for the interpretation of modern experiments. The main text concentrates less on the mathematical foundations than on the global influence of the classical phase space structures on the quantum mechanical observables. Further mathematical detail is contained in the appendices. Worked problem sets are included as an aid to the student.


The Semiclassical Way to Dynamics and Spectroscopy

The Semiclassical Way to Dynamics and Spectroscopy
Author: Eric J. Heller
Publisher: Princeton University Press
Total Pages: 472
Release: 2018-06-05
Genre: Science
ISBN: 0691163731

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A graduate-level text that examines the semiclassical approach to quantum mechanics Physical 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 mechanics More than two hundred figures to assist intuition Emphasis on semiclassical Green function and wave packet perspective, as well as tunneling and spectroscopy Chapters include quantum mechanics of classically chaotic systems, quantum scarring, and other modern dynamical topics


Semiclassical Physics

Semiclassical Physics
Author: Matthias Brack
Publisher: CRC Press
Total Pages: 442
Release: 2018-03-05
Genre: Science
ISBN: 0429982453

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This book attempts to convey to the reader that semiclassical physics can be fun, as well as useful for understanding quantum fluctuations in interacting many-body systems. It presents applications to finite fermion systems in diverse areas of physics.


Theory And Application Of Quantum Molecular Dynamics

Theory And Application Of Quantum Molecular Dynamics
Author: John Zeng Hui Zhang
Publisher: World Scientific
Total Pages: 389
Release: 1998-12-08
Genre: Science
ISBN: 9814496413

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This book provides a detailed presentation of modern quantum theories for treating the reaction dynamics of small molecular systems. Its main focus is on the recent development of successful quantum dynamics theories and computational methods for studying the molecular reactive scattering process, with specific applications given in detail for a number of benchmark chemical reaction systems in the gas phase and the gas surface. In contrast to traditional books on collision in physics focusing on abstract theory for nonreactive scattering, this book deals with both the development and the application of the modern reactive or rearrangement scattering theory, and is written in a fashion in which the development of the reactive scattering theory is closely coupled with its computational aspects for practical applications for realistic molecular reactions. The volume includes such topics as methods for calculating rovibrational states of molecules, fundamental quantum theory for scattering (nonreactive and reactive), modern time-independent computational methods for reactive scattering, general time-dependent wave packet methods for reactive scattering, dynamics theory of chemical reactions, dynamics of molecular fragmentation, semiclassical description of quantum mechanics, and also some useful appendices.The book is intended for the reader to not only understand the molecular reaction dynamics from the fundamental scattering theory, but also utilize the provided computational methodologies in their practical applications. It should benefit graduate students and researchers in the field of chemical physics.


Molecular Quantum Mechanics

Molecular Quantum Mechanics
Author: Peter W. Atkins
Publisher: Oxford University Press
Total Pages: 552
Release: 2011
Genre: Science
ISBN: 0199541426

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This text unravels those fundamental physical principles which explain how all matter behaves. It takes us from the foundations of quantum mechanics, through quantum models of atomic, molecular, and electronic structure, and on to discussions of spectroscopy, and the electronic and magnetic properties of molecules.


Theory of Molecular Fluids

Theory of Molecular Fluids
Author: C. G. Gray
Publisher: International Monographs on Ch
Total Pages: 785
Release: 1984
Genre: Science
ISBN: 0198556217

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Existing texts on liquid theory are limited to simple liquids of spherical molecules, but nearly all liquids of practical interest have molecules that are non-spherical, resulting in more diverse phenomena. This text is the first to provide the molecular theory for such liquids, and describes applications to a wide range of physical properties.