Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles
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Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles
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Author : Abbas Bahri
language : en
Publisher: CRC Press
Release Date : 1997-11-28
Classical And Quantic Periodic Motions Of Multiply Polarized Spin Particles written by Abbas Bahri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-28 with Mathematics categories.
:The author of this volume defines a diffusion flow for a variational problem lacking completeness related to the geometry of a contact form a a and a vector field u in its kernel. He analyzes the ends of the flow lines and finds them to be of two types: one involving periodic orbits of the Reeb (Hamiltonian) vector field x, and the other where asymptotes occur. In the most general case these turn out to be periodic motions for x up to quantic jumps of a very special type along u. He shows that the mathematical results and the physical interpretation fit and provide new points of view useful in the foundations of quantum mechanics.
Flow Lines And Algebraic Invariants In Contact Form Geometry
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Author : Abbas Bahri
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Flow Lines And Algebraic Invariants In Contact Form Geometry written by Abbas Bahri 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.
This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). In particular, this work develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems, non-Fredholm behavior, true and false critical points at infinity, and topological implications. An increasing convergence with regular and singular Yamabe-type problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized, with a specific focus on a unified approach to non-compactness in both disciplines. Fully detailed, explicit proofs and a number of suggestions for further research are provided throughout. Rich in open problems and written with a global view of several branches of mathematics, this text lays the foundation for new avenues of study in contact form geometry. Graduate students and researchers in geometry, partial differential equations, and related fields will benefit from the book's breadth and unique perspective.
Partial Differential Equations Arising From Physics And Geometry
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Author : Mohamed Ben Ayed
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02
Partial Differential Equations Arising From Physics And Geometry written by Mohamed Ben Ayed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Mathematics categories.
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
Real Analytic And Algebraic Singularities
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Author : Toshisumi Fukui
language : en
Publisher: CRC Press
Release Date : 1997-12-12
Real Analytic And Algebraic Singularities written by Toshisumi Fukui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-12 with Mathematics categories.
This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.
Linear Theory Of Colombeau Generalized Functions
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Author : M Nedeljkov
language : en
Publisher: CRC Press
Release Date : 1998-05-20
Linear Theory Of Colombeau Generalized Functions written by M Nedeljkov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-20 with Mathematics categories.
Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.
Recent Advances In Differential Equations
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Author : H-H Dai
language : en
Publisher: CRC Press
Release Date : 2020-01-30
Recent Advances In Differential Equations written by H-H Dai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-30 with Mathematics categories.
The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:
Progress In Partial Differential Equations
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Author : Herbert Amann
language : en
Publisher: CRC Press
Release Date : 1998-04-01
Progress In Partial Differential Equations written by Herbert Amann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-01 with Mathematics categories.
The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.
Progress In Holomorphic Dynamics
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Author : Hartje Kriete
language : en
Publisher: CRC Press
Release Date : 1998-05-20
Progress In Holomorphic Dynamics written by Hartje Kriete and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-20 with Mathematics categories.
In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical research. Starting where other monographs in the subject end, Progress in Holomorphic Dynamics advances the theoretical aspects and recent results in complex dynamical systems, with particular emphasis on Siegel discs. Organized into four parts, the papers in this volume grew out of three workshops: two hosted by the Georg-August-Universität Göttingen and one at the "Mathematisches Forschungsinstitut Oberwolfach." Part I addresses linearization. The authors review Yoccoz's proof that the Brjuno condition is the optimal condition for linearizability of indifferent fixed points and offer a treatment of Perez-Marco's refinement of Yoccoz's work. Part II discusses the conditions necessary for the boundary of a Siegel disc to contain a critical point, builds upon Herman's work, and offers a survey of the state-of-the-art regarding the boundaries of Siegel discs. Part III deals with the topology of Julia sets with Siegel discs and contains a remarkable highlight: C.L. Petersen establishes the existence of Siegel discs of quadratic polynomials with a locally connected boundary. Keller, taking a different approach, explains the relations between locally connected "real Julia sets" with Siegel discs and the abstract concepts of kneading sequences and itineraries. Part IV closes the volume with four papers that review the different directions of present research in iteration theory. It includes discussions on the relations between commuting rational functions and their Julia sets, interactions between the iteration of polynomials and the iteration theory of entire transcendental functions, a deep analysis of the topology of the limbs of the Mandelbrot set, and an overview of complex dynamics in higher dimensions.
Boundary Value Problems With Equivalued Surface And Resistivity Well Logging
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Author : T Li
language : en
Publisher: CRC Press
Release Date : 1998-03-25
Boundary Value Problems With Equivalued Surface And Resistivity Well Logging written by T Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-25 with Mathematics categories.
This first part of this book deals with the boundary value problem with equivalued surfaces, while the second part is concerned with the mathematical model and method, including the numerical method, of the resistivity well-logging for the three-lateral well-logging.
Nonlinear Partial Differential Equations And Their Applications
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Author : Doina Cioranescu
language : en
Publisher: CRC Press
Release Date : 1998-08-15
Nonlinear Partial Differential Equations And Their Applications written by Doina Cioranescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-15 with Mathematics categories.
This book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the Collège de France. Emphasis is on applications to numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical analysis, and engineering. Proceedings of this seminar will be of particular interest to postgraduate students and specialists in the area of nonlinear partial differential equations.