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


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Автор: Sonia Mazzucchi
Название:  Mathematical Feynman Path Integrals And Their Applications (Second Revised And Enlarged Edition)
ISBN: 9789811214783
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9811214786
Обложка/Формат: Hardback
Страницы: 360
Вес: 0.65 кг.
Дата издания: 23.12.2021
Серия: Physics
Язык: English
Издание: Second edition
Размер: 22.86 x 15.24 x 3.18 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Mathematical physics, MATHEMATICS / Functional Analysis,SCIENCE / Physics / Mathematical & Computational,SCIENCE / Physics / Quantum Theory
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Поставляется из: Англии
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.


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
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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.

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.

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.

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.

Mathematical theory of feynman path integrals

Автор: Albeverio, Sergio Hoegh-krohn, Rafael Mazzucchi, Sonia
Название: Mathematical theory of feynman path integrals
ISBN: 3540769544 ISBN-13(EAN): 9783540769545
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Ideas based on Feynman path integrals have played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. This edition is based on the two first authors` mathematical approach of this theory presented in the 1st edition.

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.

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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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.

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

Автор: Grosche Christian
Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae
ISBN: 9814460079 ISBN-13(EAN): 9789814460071
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.

Solving Problems in Mathematical Analysis, Part I: Sets, Functions, Limits, Derivatives, Integrals, Sequences and Series

Автор: Radożycki Tomasz
Название: Solving Problems in Mathematical Analysis, Part I: Sets, Functions, Limits, Derivatives, Integrals, Sequences and Series
ISBN: 3030358437 ISBN-13(EAN): 9783030358433
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis.

Based on the author's years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible.

In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.

Nonlinear Integrals And Their Applications In Data Mining

Автор: Wang Zhenyuan Et Al
Название: Nonlinear Integrals And Their Applications In Data Mining
ISBN: 9812814671 ISBN-13(EAN): 9789812814678
Издательство: World Scientific Publishing
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Цена: 18216.00 р.
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Описание: Discusses various nonadditive set functions that describe the interaction among the contributions from feature attributes towards a considered target attribute. This book then investigates relevant nonlinear integrals. It is suitable as a text for graduate courses in mathematics, computer science, and information science.

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.


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