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Feynman Integrals, Weinzierl


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Автор: Weinzierl
Название:  Feynman Integrals
ISBN: 9783030995607
Издательство: Springer
Классификация:



ISBN-10: 3030995607
Обложка/Формат: Soft cover
Страницы: 857
Вес: 1.31 кг.
Дата издания: 26.06.2023
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: 158 x 240 x 50
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: A comprehensive treatment for students and researchers
Ссылка на Издательство: Link
Рейтинг:
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



Schwinger`s Quantum Action Principle

Автор: Kimball A. Milton
Название: Schwinger`s Quantum Action Principle
ISBN: 3319201271 ISBN-13(EAN): 9783319201276
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger`s Quantum Action Principle descended from Dirac`s formulation, which independently led Feynman to his path-integral formulation of quantum mechanics.

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.

Feynman Path Integrals in Quantum Mechanics and Statistical Physics

Автор: Fai, Lukong Cornelius
Название: Feynman Path Integrals in Quantum Mechanics and Statistical Physics
ISBN: 0367702991 ISBN-13(EAN): 9780367702991
Издательство: Taylor&Francis
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Цена: 7195.00 р.
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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.

Handbook of Feynman Path Integrals

Автор: Christian Grosche; Frank Steiner
Название: Handbook of Feynman Path Integrals
ISBN: 3662147610 ISBN-13(EAN): 9783662147610
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman published his pioneering paper in 1948 entitled "Space-Time Approach to Non-Relativistic Quantum Mechanics", in which he introduced his new formulation of quantum mechanics in terms of path integrals.

Quantum field theory

Автор: Fai, Lukong Cornelius (university Of Dschang, Cameroon)
Название: Quantum field theory
ISBN: 0367779595 ISBN-13(EAN): 9780367779597
Издательство: Taylor&Francis
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Цена: 6889.00 р.
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Описание: This book explores Quantum Field Theory (QFT) using the Feynman functional and diagrammatic techniques as foundations to apply QFT to a broad range of topics in physics. This book will be of interest to condensed matter physicists and physicists in a range of disciplines as the techniques apply to high-energy and soft matter physics.

Feynman Integrals

Автор: Weinzierl
Название: Feynman Integrals
ISBN: 3030995577 ISBN-13(EAN): 9783030995577
Издательство: Springer
Рейтинг:
Цена: 11878.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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 master's 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.

Open Quantum Systems and Feynman Integrals

Автор: P. Exner
Название: Open Quantum Systems and Feynman Integrals
ISBN: 9401088039 ISBN-13(EAN): 9789401088039
Издательство: Springer
Рейтинг:
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.

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.

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.

Quantum Field Theory and Functional Integrals

Автор: Moshayedi
Название: Quantum Field Theory and Functional Integrals
ISBN: 9819935296 ISBN-13(EAN): 9789819935291
Издательство: Springer
Рейтинг:
Цена: 6986.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Described here is Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view. Therein lies the main focus of Euclidean field theory. The notion of Gaussian measure and the construction of the Wiener measure are covered. As well, the notion of classical mechanics and the Schr?dinger picture of quantum mechanics are recalled. There, the equivalence to the path integral formalism is shown by deriving the quantum mechanical propagator from it. Additionally, an introduction to elements of constructive quantum field theory is provided for readers.

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
Рейтинг:
Цена: 11179.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.


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