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Books in Classical and quantum physics mechanics and fields

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Quantum Chemistry

  • 2nd Edition
  • June 29, 1993
  • John P. Lowe
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 1 5 5 4 - 0
Praised for its appealing writing style and clear pedagogy, Lowe's Quantum Chemistry is now available in its Second Edition as a text for senior undergraduate- and graduate-level chemistry students. The book assumes little mathematical or physical sophistication and emphasizes an understanding of the techniques and results of quantum chemistry, thus enabling students to comprehend much of the current chemical literature in which quantum chemical methods or concepts are used as tools. The book begins with a six-chapter introduction of standard one-dimensional systems, the hydrogen atom, many-electron atoms, and principles of quantum mechanics. It then provides thorough treatments of variation and perturbation methods, group theory, ab initio theory, Huckel and extended Huckel methods, qualitative MO theory, and MO theory of periodic systems. Chapters are completed with exercises to facilitate self-study. Solutions to selected exercises are included.

Quantum Control and Measurement

  • 1st Edition
  • June 4, 1993
  • H. Ezawa + 1 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 9 1 5 - 5
This book presents the latest results in the most fundamental field of quantum state preparation and control. At this unique conference researchers, both from the academic and industrial world, presented their work. A variety of crucial experiments under controlled, novel conditions, and theoretical checks from novel points of view are reported. Highlighted are new schemes for quantum interference, single particle behaviour, gravitational waves, electron holography and semiconductor microlasers. Containing all the recent results available in the field, this volume points the direction for further experimental and theoretical work in the foundations of physics.

Vacuum Structure and QCD Sum Rules

  • 1st Edition
  • Volume 10
  • December 23, 1992
  • M.A. Shifman
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 6 1 6 - 1
The method of the QCD sum rules was and still is one of the most productive tools in a wide range of problems associated with the hadronic phenomenology. Many heuristic ideas, computational devices, specific formulae which are useful to theorists working not only in hadronic physics, have been accumulated in this method. Some of the results and approaches which have originally been developed in connection with the QCD sum rules can be and are successfully applied in related fields, such as supersymmetric gauge theories, nontraditional schemes of quarks and leptons etc. The amount of literature on these and other more basic problems in hadronic physics has grown enormously in recent years. This volume presents a collection of papers which provide an overview of all basic elements of the sum rule approach and priority has been given to those works which seemed most useful from a pedagogical point of view.

Structures in Dynamics

  • 1st Edition
  • Volume 2
  • November 5, 1991
  • H.W. Broer + 3 more
  • English
  • eBook
    9 7 8 - 0 - 4 4 4 - 5 9 6 2 5 - 3
The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs.All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

Quantum Physics, Relativity, and Complex Spacetime

  • 1st Edition
  • Volume 163
  • December 11, 1990
  • G. Kaiser
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 7 4 - 2
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime, and it is shown that this complexification has a solid physical interpretation as an extended phase space. The extended fields can be said to be realistic wavelet transforms of the original fields. A new, algebraic theory of wavelets is developed.

Electron Tunneling in Chemistry

  • 1st Edition
  • Volume 30
  • October 17, 1989
  • R.F. Khairutdinov + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 6 8 2 4 - 0
In Volume 30, an attempt is made to consider comprehensively both theoretical and experimental data that have been obtained to date on electron tunneling reactions involving chemical compounds of various classes, and to discuss the role played by these reactions in different areas of chemistry. The discussion of the above problem is preceded by a review of data on tunneling phenomena in nuclear physics, atomic physics, solid-state physics, as well as on the tunneling effects in chemistry that go beyond the framework of the main subject of this monograph. This review is included to acquaint the reader with the role of tunneling phenomena in physics and chemistry as a whole, to show how diversified the kingdom of tunneling phenomena is, and to see more distinctly the similarities and the differences between electron tunneling in chemical reactions and other tunnel phenomena.

Quantum Probability

  • 1st Edition
  • August 28, 1988
  • Stanley P. Gudder
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 1 8 4 8 - 8
Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism.Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles.The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.

Solitons and Instantons

  • 1st Edition
  • Volume 15
  • April 1, 1987
  • R. Rajaraman
  • English
  • Paperback
    9 7 8 - 0 - 4 4 4 - 8 7 0 4 7 - 6
This book offers an elementary and unified introduction to the non-perturbative results obtained in relativistic quantum field theory based on classical soliton and instanton solutions. Such solutions are derived for a variety of models and classified by topological indices. The methods are then developed for quantizing solitons to obtain quantum particles. Vacuum tunneling, &ugr;-vacua and the dilute-instanton-gas approximation are described in detail. Other instanton effects related to quark-quark forces, confinement, the U(1) problem and Borel summability are also discussed. The emphasis is on presenting the basic ideas in a simple pedagogical way. Technical tools like functional methods, Grassman integrals, homotopy classification, collective co-ordinates etc. are developed ab initio.The presentation of this work is kept at a fairly simple level and ideas are developed through illustrative examples. Techniques not covered in older field theory textbooks, such as functional integral methods, are presented in some detail to the necessary extent. These techniques are important in their own right. Although the book is mainly addressed to particle physicists and quantum field theorists, several portions will be of relevance to other branches of physics, particularly statistical mechanics. These include three chapters devoted to deriving classical soliton and instanton solutions and one on collective co-ordinates, as well as sections devoted to general techniques.

Quantum Electrodynamics

  • 2nd Edition
  • January 1, 1982
  • V B Berestetskii + 2 more
  • English
  • Paperback
    9 7 8 - 0 - 7 5 0 6 - 3 3 7 1 - 0
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 0 3 4 6 - 2
Several significant additions have been made to the second edition, including the operator method of calculating the bremsstrahlung cross-section, the calcualtion of the probabilities of photon-induced pair production and photon decay in a magnetic field, the asymptotic form of the scattering amplitudes at high energies, inelastic scattering of electrons by hadrons, and the transformation of electron-positron pairs into hadrons.

Quantum Mechanics

  • 3rd Edition
  • January 1, 1981
  • L D Landau + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 7 5 0 6 - 3 5 3 9 - 4
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 0 3 4 8 - 6
This edition has been completely revised to include some 20% of new material. Important recent developments such as the theory of Regge poles are now included. Many problems with solutions have been added to those already contained in the book.