Adiabatic Invariance And Canonical Perturbation Theory
DOWNLOAD
Download Adiabatic Invariance And Canonical Perturbation Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Adiabatic Invariance And Canonical Perturbation Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Adiabatic Invariance And Canonical Perturbation Theory
DOWNLOAD
Author : Brian Maurice Davies
language : en
Publisher:
Release Date : 1975
Adiabatic Invariance And Canonical Perturbation Theory written by Brian Maurice Davies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Classical And Quantum Dynamics
DOWNLOAD
Author : Walter Dittrich
language : en
Publisher: Springer
Release Date : 2017-05-11
Classical And Quantum Dynamics written by Walter Dittrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-11 with Science categories.
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.
Geometric Perturbation Theory In Physics
DOWNLOAD
Author : S M Omohundro
language : en
Publisher: World Scientific
Release Date : 1986-10-31
Geometric Perturbation Theory In Physics written by S M Omohundro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-31 with Technology & Engineering categories.
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.
Quantum Mechanical Applications To Classical Perturbation Theory
DOWNLOAD
Author : L. M. CARRIDO
language : en
Publisher:
Release Date : 1962
Quantum Mechanical Applications To Classical Perturbation Theory written by L. M. CARRIDO and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.
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.
Dynamics Reported
DOWNLOAD
Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dynamics Reported written by 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 2012-12-06 with Mathematics categories.
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.
Perturbation Methods For Differential Equations
DOWNLOAD
Author : Bhimsen Shivamoggi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Perturbation Methods For Differential Equations written by Bhimsen Shivamoggi 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 2012-12-06 with Mathematics categories.
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.
Theory Of Orbits
DOWNLOAD
Author : Dino Boccaletti
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Theory Of Orbits written by Dino Boccaletti 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 2013-03-09 with Science categories.
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).
Geometric Perturbation Theory And Plasma Physics
DOWNLOAD
Author : Stephen Malvern Omohundro
language : en
Publisher:
Release Date : 1985
Geometric Perturbation Theory And Plasma Physics written by Stephen Malvern Omohundro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Perturbation Methods In Applied Mathematics
DOWNLOAD
Author : J. Kevorkian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Perturbation Methods In Applied Mathematics written by J. Kevorkian 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 2013-03-09 with Mathematics categories.
This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathe matics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differ ential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B.
Regular And Stochastic Motion
DOWNLOAD
Author : A. J. Lichtenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Regular And Stochastic Motion written by A. J. Lichtenberg 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 2013-03-14 with Mathematics categories.
This book treats stochastic motion in nonlinear oscillator systems. It describes a rapidly growing field of nonlinear mechanics with applications to a number of areas in science and engineering, including astronomy, plasma physics, statistical mechanics and hydrodynamics. The main em phasis is on intrinsic stochasticity in Hamiltonian systems, where the stochastic motion is generated by the dynamics itself and not by external noise. However, the effects of noise in modifying the intrinsic motion are also considered. A thorough introduction to chaotic motion in dissipative systems is given in the final chapter. Although the roots of the field are old, dating back to the last century when Poincare and others attempted to formulate a theory for nonlinear perturbations of planetary orbits, it was new mathematical results obtained in the 1960's, together with computational results obtained using high speed computers, that facilitated our new treatment of the subject. Since the new methods partly originated in mathematical advances, there have been two or three mathematical monographs exposing these developments. However, these monographs employ methods and language that are not readily accessible to scientists and engineers, and also do not give explicit tech niques for making practical calculations. In our treatment of the material, we emphasize physical insight rather than mathematical rigor. We present practical methods for describing the motion, for determining the transition from regular to stochastic behavior, and for characterizing the stochasticity. We rely heavily on numerical computations to illustrate the methods and to validate them.