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Feynman Integrals, Weinzierl


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Автор: Weinzierl
Название:  Feynman Integrals
ISBN: 9783030995577
Издательство: Springer
Классификация:



ISBN-10: 3030995577
Обложка/Формат: Hardback
Страницы: 857
Вес: 1.47 кг.
Дата издания: 26.06.2022
Серия: UNITEXT for Physics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 32 illustrations, color; 110 illustrations, black and white; xiv, 857 p. 142 illus., 32 illus. in color.
Размер: 160 x 243 x 57
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: A Comprehensive Treatment for Students and Researchers
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the masters level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.
Дополнительное описание: Introduction.- Basics.- Graph polynomials.- Quantum ?eld theory.- One-loop integrals.- Iterated integrals.- Transformations of differential equations.- Multiple polylogarithms.- Nested sums.- Sector decomposition.- Hopf algebras, coactions and symbols.- C



Rigorous Time Slicing Approach to Feynman Path Integrals

Автор: Daisuke Fujiwara
Название: Rigorous Time Slicing Approach to Feynman Path Integrals
ISBN: 4431565515 ISBN-13(EAN): 9784431565512
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Basic properties of oscillatory integrals and the stationary phase method are explained in the book in detail.Those finite-dimensional integrals form a sequence of approximation of the Feynman path integral when the division goes finer and finer.

Mathematical Feynman Path Integrals And Their Applications (Second Revised And Enlarged Edition)

Автор: Sonia Mazzucchi
Название: Mathematical Feynman Path Integrals And Their Applications (Second Revised And Enlarged Edition)
ISBN: 9811214786 ISBN-13(EAN): 9789811214783
Издательство: World Scientific Publishing
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Цена: 11088.00 р.
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Описание: Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.

Path Integrals For Pedestrians

Автор: Gozzi Ennio Et Al
Название: Path Integrals For Pedestrians
ISBN: 9814603937 ISBN-13(EAN): 9789814603935
Издательство: World Scientific Publishing
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Цена: 4435.00 р.
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Описание: This book serves as a pedagogical tool to teach path integrals to students and provide work-out problems.

Evaluating Feynman Integrals

Автор: Vladimir A. Smirnov
Название: Evaluating Feynman Integrals
ISBN: 3642062970 ISBN-13(EAN): 9783642062971
Издательство: Springer
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Цена: 32651.00 р.
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Описание: The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory.Although a great variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them.

Wave Packet Analysis of Feynman Path Integrals

Автор: Nicola
Название: Wave Packet Analysis of Feynman Path Integrals
ISBN: 3031061853 ISBN-13(EAN): 9783031061851
Издательство: Springer
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Цена: 9083.00 р.
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Описание: The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this viewpoint, path integrals can be roughly described in terms of approximation formulas for an operator (usually the propagator of a Schr?dinger-type evolution equation) involving a suitably designed sequence of operators. In keeping with the spirit of harmonic analysis, the guiding theme of the book is to illustrate how the powerful techniques of time-frequency analysis - based on the decomposition of functions and operators in terms of the so-called Gabor wave packets – can be successfully applied to mathematical path integrals, leading to remarkable results and paving the way to a fruitful interaction. This monograph intends to build a bridge between the communities of people working in time-frequency analysis and mathematical/theoretical physics, and to provide an exposition of the present novel approach along with its basic toolkit. Having in mind a researcher or a Ph.D. student as reader, we collected in Part I the necessary background, in the most suitable form for our purposes, following a smooth pedagogical pattern. Then Part II covers the analysis of path integrals, reflecting the topics addressed in the research activity of the authors in the last years.

Path Integrals and Hamiltonians

Автор: Baaquie
Название: Path Integrals and Hamiltonians
ISBN: 1107009790 ISBN-13(EAN): 9781107009790
Издательство: Cambridge Academ
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Цена: 21384.00 р.
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Описание: A succinct introduction to the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics, with a practical emphasis on methodological and mathematical aspects. Essential reading for researchers and graduate students in physics, and engineers whose work touches on quantum mechanics.

Hypoelliptic Laplacian and Orbital Integrals

Автор: Bismut Jean-Michel
Название: Hypoelliptic Laplacian and Orbital Integrals
ISBN: 069115130X ISBN-13(EAN): 9780691151304
Издательство: Wiley
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Цена: 11880.00 р.
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Описание: The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula.

Bicoherent States Path Integrals and Systems With Constraints

Автор: Tulsian Gajendra
Название: Bicoherent States Path Integrals and Systems With Constraints
ISBN: 0530003147 ISBN-13(EAN): 9780530003146
Издательство: Неизвестно
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Цена: 12139.00 р.
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Описание: Dissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, "Bicoherent States Path Integrals and Systems With Constraints" by Gajendra Tulsian, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.

Rigorous Time Slicing Approach to Feynman Path Integrals

Автор: Fujiwara Daisuke
Название: Rigorous Time Slicing Approach to Feynman Path Integrals
ISBN: 4431568182 ISBN-13(EAN): 9784431568186
Издательство: Springer
Рейтинг:
Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Basic properties of oscillatory integrals and the stationary phase method are explained in the book in detail.Those finite-dimensional integrals form a sequence of approximation of the Feynman path integral when the division goes finer and finer.

Feynman Path Integrals

Автор: S. Albeverio; P. Combe; R. Hscogh-Krohn; G. Rideau
Название: Feynman Path Integrals
ISBN: 3540095322 ISBN-13(EAN): 9783540095323
Издательство: Springer
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Цена: 11179.00 р.
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Open Quantum Systems and Feynman Integrals

Автор: P. Exner
Название: Open Quantum Systems and Feynman Integrals
ISBN: 9401088039 ISBN-13(EAN): 9789401088039
Издательство: Springer
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Цена: 14365.00 р.
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Описание: In both the system under consideration is viewed as part of a larger system, assumed to be isolated in a reasonable approximation. They are differentiated mainly by the way in which the state Hilbert space of the open system is related to that of the isolated system - either by orthogonal sum or by tensor product.

Inside interesting integrals

Автор: Nahin, Paul J.
Название: Inside interesting integrals
ISBN: 3030437876 ISBN-13(EAN): 9783030437879
Издательство: Springer
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Цена: 6986.00 р.
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Описание: What`s the point of calculating definite integrals since you can`t possibly do them all?What makes doing the specific integrals in this book of value aren`t the specific answers we`ll obtain, but rather the methods we`ll use in obtaining those answers;


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