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Formulations Of Classical And Quantum Dynamical Theory

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Formulations Of Classical And Quantum Dynamical Theory

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Author :
language : en
Publisher: Elsevier
Release Date : 2014-05-14

Formulations Of Classical And Quantum Dynamical Theory written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Technology & Engineering categories.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Geometric Formulation Of Classical And Quantum Mechanics

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Author : G. Giachetta
language : en
Publisher: World Scientific
Release Date : 2011

Geometric Formulation Of Classical And Quantum Mechanics written by G. Giachetta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.

Formulations Of Classical And Quantum Dynamical Theory

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Author : Gerald Rosen
language : en
Publisher:
Release Date : 1969

Formulations Of Classical And Quantum Dynamical Theory written by Gerald Rosen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Quantum theory categories.

Formulations Of Classical And Quantum Dynamical Theory

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Author : G. Rosen
language : it
Publisher:
Release Date : 1969

Formulations Of Classical And Quantum Dynamical Theory written by G. Rosen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.

Classical And Quantum Dissipative Systems Second Edition

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Author : Mohsen Razavy
language : en
Publisher: World Scientific
Release Date : 2017-02-27

Classical And Quantum Dissipative Systems Second Edition written by Mohsen Razavy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-27 with Science categories.

Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.

Nuclear Science Abstracts

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Author :
language : en
Publisher:
Release Date : 1974

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Nuclear energy categories.

Group Theory And Its Applications

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Author : Ernest M. Loebl
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Group Theory And Its Applications written by Ernest M. Loebl and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Group Theory and its Applications, Volume III covers the two broad areas of applications of group theory, namely, all atomic and molecular phenomena, as well as all aspects of nuclear structure and elementary particle theory. This volume contains five chapters and begins with an introduction to Wedderburn's theory to establish the structure of semisimple algebras, algebras of quantum mechanical interest, and group algebras. The succeeding chapter deals with Dynkin's theory for the embedding of semisimple complex Lie algebras in semisimple complex Lie algebras. These topics are followed by a review of the Frobenius algebra theory, its centrum, its irreducible, invariant subalgebras, and its matric basis. The discussion then shifts to the concepts and application of the Heisenberg-Weyl ring to quantum mechanics. Other chapters explore some well-known results about canonical transformations and their unitary representations; the Bargmann Hilbert spaces; the concept of complex phase space; and the concept of quantization as an eigenvalue problem. The final chapter looks into a theoretical approach to elementary particle interactions based on two-variable expansions of reaction amplitudes. This chapter also demonstrates the use of invariance properties of space-time and momentum space to write down and exploit expansions provided by the representation theory of the Lorentz group for relativistic particles, or the Galilei group for nonrelativistic ones. This book will prove useful to mathematicians, engineers, physicists, and advance students.

Quantum Dynamics With Trajectories

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Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-20

Quantum Dynamics With Trajectories written by Robert E. Wyatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-20 with Mathematics categories.

This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers

Dynamic Programming And Its Application To Optimal Control

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Author :
language : en
Publisher: Elsevier
Release Date : 1971-10-11

Dynamic Programming And Its Application To Optimal Control written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-10-11 with Mathematics categories.

Connections In Classical And Quantum Field Theory

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Author : L. Mangiarotti
language : en
Publisher: World Scientific
Release Date : 2000

Connections In Classical And Quantum Field Theory written by L. Mangiarotti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.

Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.

Formulations Of Classical And Quantum Dynamical Theory

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