Canonical Perturbation Theories PDF Download
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Author: Sylvio Ferraz-Mello
Publisher: Springer Science & Business Media
ISBN: 0387389059
Category : Science
Languages : en
Pages : 350
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Book Description
The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
Author: Sylvio Ferraz-Mello
Publisher: Springer Science & Business Media
ISBN: 0387389059
Category : Science
Languages : en
Pages : 350
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Book Description
The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
Author: Marius Kolsrud
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
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Book Description
Author: Douglas Cline
Publisher:
ISBN: 9780998837277
Category :
Languages : en
Pages :
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Book Description
Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.
Author: Sayandeb Basu
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
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Book Description
Author: Jai Seung Choi
Publisher:
ISBN:
Category : Perturbation (Quantum dynamics)
Languages : en
Pages : 184
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Book Description
Author: Francisco M. Fernandez
Publisher: CRC Press
ISBN: 1420039644
Category : Science
Languages : en
Pages : 289
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Book Description
Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610
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Book Description
Author: John R. Cary
Publisher:
ISBN:
Category : Hamiltonian systems
Languages : en
Pages : 72
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Book Description
Author: Walter Dittrich
Publisher: Springer
ISBN: 3319582984
Category : Science
Languages : en
Pages : 482
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Book Description
Graduate students who wish to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals. The fifth edition has been revised and enlarged to include chapters on quantum electrodynamics, in particular, Schwinger’s proper time method and the treatment of classical and quantum mechanics with Lie brackets and pseudocanonical transformations. It is shown that operator quantum electrodynamics can be equivalently described with c-numbers, as demonstrated by calculating the propagation function for an electron in a prescribed classical electromagnetic field.
Author: Brian Maurice Davies
Publisher:
ISBN:
Category :
Languages : en
Pages : 120
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Book Description
