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Sprache: Englisch
Verlag: Basel [u.a.]: Birkhäuser Verlag, 1994
ISBN 10: 3764350881 ISBN 13: 9783764350888
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Sprache: Englisch
Verlag: Basel. Birkhäuser Verlag., 1994
ISBN 10: 3764350881 ISBN 13: 9783764350888
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Zustand: New. Translator(s): Shishkova, M.A.; Sossinsky, A. B. Series: Progress in Mathematical Physics. Num Pages: 311 pages, 2 black & white illustrations. BIC Classification: WM. Category: (G) General (US: Trade). Dimension: 235 x 155 x 16. Weight in Grams: 486. . 2012. Softcover reprint of the original 1st ed. 1994. paperback. . . . . Books ship from the US and Ireland.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - When this book was first published (in Russian), it proved to become the fountainhead of a major stream of important papers in mathematics, physics and even chemistry; indeed, it formed the basis of new methodology and opened new directions for research. The present English edition includes new examples of applications to physics, hitherto unpublished or available only in Russian. Its central mathematical idea is to use topological methods to analyze isotropic invariant manifolds in order to obtain asymptotic series of eigenvalues and eigenvectors for the multi-dimensional Schrödinger equation, and also to take into account the so-called tunnel effects. Finite-dimensional linear theory is reviewed in detail. Infinite-dimensional linear theory and its applications to quantum statistics and quantum field theory, as well as the nonlinear theory (involving instantons), will be considered in a second volume.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book deals with asymptotic solutions of linear and nonlinear equa tions which decay as h ---+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the functions cp(x) exp{iS(x)/h}, x E 1R3, where S(x) is complex, and ImS(x) ~ o. When the phase S(x) is real (ImS(x) = 0), the method for obtaining asymp totics of this type is known in quantum mechanics as the WKB-method. We preserve this terminology in the case ImS(x) ~ 0 and develop the method for a wide class of problems in mathematical physics. Asymptotics of this type were constructed recently for many linear prob lems of mathematical physics; certain specific formulas were obtained by differ ent methods (V. M. Babich [5 -7], V. P. Lazutkin [76], A. A. Sokolov, 1. M. Ter nov [113], J. Schwinger [107, 108], E. J. Heller [53], G. A. Hagedorn [50, 51], V. N. Bayer, V. M. Katkov [21], N. A. Chernikov [35] and others). However, a general (Hamiltonian) formalism for obtaining asymptotics of this type is clearly required; this state of affairs is expressed both in recent mathematical and physical literature. For example, the editors of the collected volume [106] write in its preface: 'One can hope that in the near future a computational pro cedure for fields with complex phase, similar to the usual one for fields with real phase, will be developed.
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Taschenbuch. Zustand: Neu. The Complex WKB Method for Nonlinear Equations I | Linear Theory | Victor P. Maslov | Taschenbuch | vii | Englisch | 2013 | Birkhäuser | EAN 9783034896696 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Zustand: Hervorragend. Zustand: Hervorragend | Seiten: 316 | Sprache: Englisch | Produktart: Bücher | This book deals with asymptotic solutions of linear and nonlinear equa tions which decay as h ---+ 0 outside a neighborhood of certain points, curves and surfaces. Such solutions are almost everywhere well approximated by the functions cp(x) exp{iS(x)/h}, x E 1R3, where S(x) is complex, and ImS(x) ~ o. When the phase S(x) is real (ImS(x) = 0), the method for obtaining asymp totics of this type is known in quantum mechanics as the WKB-method. We preserve this terminology in the case ImS(x) ~ 0 and develop the method for a wide class of problems in mathematical physics. Asymptotics of this type were constructed recently for many linear prob lems of mathematical physics; certain specific formulas were obtained by differ ent methods (V. M. Babich [5 -7], V. P. Lazutkin [76], A. A. Sokolov, 1. M. Ter nov [113], J. Schwinger [107, 108], E. J. Heller [53], G. A. Hagedorn [50, 51], V. N. Bayer, V. M. Katkov [21], N. A. Chernikov [35] and others). However, a general (Hamiltonian) formalism for obtaining asymptotics of this type is clearly required; this state of affairs is expressed both in recent mathematical and physical literature. For example, the editors of the collected volume [106] write in its preface: "One can hope that in the near future a computational pro cedure for fields with complex phase, similar to the usual one for fields with real phase, will be developed.
Sprache: Englisch
Verlag: Springer Netherlands|Springer, Berlin, 1995
ISBN 10: 0792337891 ISBN 13: 9780792337898
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In den WarenkorbZustand: New. This book presents an up-to-date review of methods for constructing a specific class of asymptotic solutions, called self-stabilizing solutions. This class includes solitons, kinks, travelling waves, etc. Either the solutions for this class or their derivat.
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In den WarenkorbHardcover. Zustand: New. The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several imp.
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Buch. Zustand: Neu. Neuware - In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero. Such equations arise in statistical physics and in quantum theory of a large number of fi elds. We consider the problem of renormalization of quantum field theory in the Hamiltonian formalism, which encounters additional difficulties related to the Stückelberg divergences and the Haag theorem. Asymptotic methods for solving pseudodifferential equations with small parameter multiplying the derivatives, as well as the asymptotic methods developed in the present monograph for solving problems in statistical physics and quantum field theory, can be considered from a unified viewpoint if one introduces the notion of abstract canonical operator. The book can be of interest for researchers - specialists in asymptotic methods, statistical physics, and quantum fi eld theory as well as for graduate and undergraduate students of these specialities.
Taschenbuch. Zustand: Neu. Idempotent Analysis and Its Applications | Victor P. Maslov (u. a.) | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2010 | Springer Netherland | EAN 9789048148349 | Verantwortliche Person für die EU: Springer Netherlands, Haberstr. 7, 69126 Heidelberg, buchhandel-buch[at]springer[dot]com | Anbieter: preigu.