Adiabatic Invariance and Canonical Perturbation Theory PDF Download
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Author: Brian Maurice Davies
Publisher:
ISBN:
Category :
Languages : en
Pages : 120
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Book Description
Author: Brian Maurice Davies
Publisher:
ISBN:
Category :
Languages : en
Pages : 120
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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: S M Omohundro
Publisher: World Scientific
ISBN: 9814603430
Category : Technology & Engineering
Languages : en
Pages : 588
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Book Description
This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic geometry, to the foundations of broad areas of physics. Throughout the book, intuitive descriptions and diagrams are used to elucidate the mathematical theory. It develops a coordinate-free framework for perturbation theory and uses this to show how underlying symplectic structures arise from physical asymptotes. It describes a remarkable parity between classical mechanics which arises asymptotically from quantum mechanics and classical thermodynamics which arises asymptotically from statistical mechanics. Included here is a section with one hundred unanswered questions for further research.
Author: L. M. CARRIDO
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
Contents: Approximate constancy of adiabatic invariants in quantum mechanics Action principle for classical fields Relativisitc particle equations General perturbation theory in classical mechanics Schwinger's action principle for classical mechanics Adiabatic invariants of plasmas in non-uniform magnetic fi lds Canonical transformations as unitary transformations.
Author:
Publisher: Springer Science & Business Media
ISBN: 3642612326
Category : Mathematics
Languages : en
Pages : 243
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Book Description
DYNAMICS REPORTED reports on recent developments in dynamical systems. Dynamical systems of course originated from ordinary differential equations. Today, dynamical systems cover a much larger area, including dynamical pro cesses described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems have involved remarkably in recent years. A wealth of new phenomena, new ideas and new techniques are proving to be of considerable interest to scientists in rather different fields. It is not surprising that thousands of publications on the theory itself and on its various applications are appearing. DYNAMICS REPORTED presents carefully written articles on major sub jects in dynamical systems and their applications, addressed not only to special ists but also to a broader range of readers including graduate students. Topics are advanced, while detailed exposition of ideas, restriction to typical result- rather than the most general ones - and, last but not least, lucid proofs help to gain the utmost degree of clarity. It is hoped, that DYNAMICS REPORTED will be useful for those enter ing the field and will stimulate an exchange of ideas among those working in dynamical systems.
Author: Dino Boccaletti
Publisher: Springer Science & Business Media
ISBN: 3662092409
Category : Science
Languages : en
Pages : 430
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Book Description
Half a century ago, S. Chandrasekhar wrote these words in the preface to his 1 celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. [ ... ] Indeed, several of the problems of modern stellar dy namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at var ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con sidered from the point of view of celestial mechanics (the N-body problem with N» 1), fluid mechanics (the system is represented by a material con tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system).
Author: Bhimsen Shivamoggi
Publisher: Springer Science & Business Media
ISBN: 1461200474
Category : Mathematics
Languages : en
Pages : 363
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Book Description
Perturbation methods are widely used in the study of physically significant differential equations, which arise in Applied Mathematics, Physics and Engineering.; Background material is provided in each chapter along with illustrative examples, problems, and solutions.; A comprehensive bibliography and index complete the work.; Covers an important field of solutions for engineering and the physical sciences.; To allow an interdisciplinary readership, the book focuses almost exclusively on the procedures and the underlying ideas and soft pedal the proofs; Dr. Bhimsen K. Shivamoggi has authored seven successful books for various publishers like John Wiley & Sons and Kluwer Academic Publishers.
Author: Stephen Malvern Omohundro
Publisher:
ISBN:
Category :
Languages : en
Pages : 714
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Book Description
Author: Walter Dittrich
Publisher: Springer Nature
ISBN: 303036786X
Category : Science
Languages : en
Pages : 551
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Book Description
Graduate students seeking 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 sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.
Author: Claude Gignoux
Publisher: Springer Science & Business Media
ISBN: 9048123933
Category : Science
Languages : en
Pages : 464
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Book Description
The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.
