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Wave Packet Analysis of Feynman Path Integrals, Nicola


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Автор: Nicola
Название:  Wave Packet Analysis of Feynman Path Integrals
ISBN: 9783031061851
Издательство: Springer
Классификация:

ISBN-10: 3031061853
Обложка/Формат: Soft cover
Страницы: 214
Вес: 0.36 кг.
Дата издания: 12.08.2022
Серия: Lecture Notes in Mathematics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 3 tables, color; 3 illustrations, color; xiii, 214 p. 3 illus. in color.; 3 tables, color; 3 illustrations, color; xiii, 214 p. 3 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.
Дополнительное описание: - 1. Itinerary: How Gabor Analysis Met Feynman Path Integrals. - Part I Elements of Gabor Analysis. - 2. Basic Facts of Classical Analysis. - 3. The Gabor Analysis of Functions. - 4. The Gabor Analysis of Operators. - 5. Semiclassical Gabor Analysis. - Pa


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: 74530.00 T
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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: 93160.00 T
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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.

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: 102480.00 T
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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.

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: 102480.00 T
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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 Integrals

Автор: Weinzierl
Название: Feynman Integrals
ISBN: 3030995577 ISBN-13(EAN): 9783030995577
Издательство: Springer
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Цена: 79190.00 T
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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.

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: 142560.00 T
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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.

Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, Singularitie

Автор: Radożycki Tomasz
Название: Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, Singularitie
ISBN: 3030385957 ISBN-13(EAN): 9783030385958
Издательство: Springer
Рейтинг:
Цена: 74530.00 T
Наличие на складе: Невозможна поставка.
Описание: This book is intended for periodontal residents and practicing periodontists who wish to incorporate the principles of moderate sedation into daily practice. Comprehensive airway management and rescue skills are then documented in detail so that the patient may be properly managed in the event that the sedation progresses beyond the intended level.

Real Analysis: Measures, Integrals and Applications

Автор: Boris Makarov; Anatolii Podkorytov
Название: Real Analysis: Measures, Integrals and Applications
ISBN: 1447151216 ISBN-13(EAN): 9781447151210
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book provides an introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It features over 600 examples.

Lecture Notes In Topics In Path Integrals And String Representations

Автор: Botelho Luiz C L
Название: Lecture Notes In Topics In Path Integrals And String Representations
ISBN: 9813143460 ISBN-13(EAN): 9789813143463
Издательство: World Scientific Publishing
Цена: 85530.00 T
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Описание: 'All are every interesting topics treated with a high level of mathematical sophistication. One of the very useful tricks the author repeatedly resorts to is the introduction of one-parameter families of operators interpolating between two operators which appear naturally in the formalism. From this one-parameter family a differential equation for the determinant (or ratio of determinants) or for correlation functions is derived, which can then be solved. This is a very simple, elegant and powerful technique.'Mathematical Reviews ClippingsFunctional Integrals is a well-established method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and string theory. This book presents a unique, original and modern treatment of strings representations on Bosonic Quantum Chromodynamics and Bosonization theory on 2d Gauge Field Models, besides of rigorous mathematical studies on the analytical regularization scheme on Euclidean quantum field path integrals and stochastic quantum field theory. It follows an analytic approach based on Loop space techniques, functional determinant exact evaluations and exactly solubility of four dimensional QCD loop wave equations through Elfin Botelho fermionic extrinsic self avoiding string path integrals.

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: 32560.00 T
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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.

Quantum Field Theory: Feynman Path Integrals and Diagrammatic Techniques in Condensed Matter

Автор: Lukong Cornelius Fai
Название: Quantum Field Theory: Feynman Path Integrals and Diagrammatic Techniques in Condensed Matter
ISBN: 0367185741 ISBN-13(EAN): 9780367185749
Издательство: Taylor&Francis
Рейтинг:
Цена: 163330.00 T
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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.

Special Techniques for Solving Integrals: Examples and Problems

Автор: Khristo N Boyadzhiev
Название: Special Techniques for Solving Integrals: Examples and Problems
ISBN: 9811236259 ISBN-13(EAN): 9789811236259
Издательство: World Scientific Publishing
Рейтинг:
Цена: 84450.00 T
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Описание:

This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.


The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.



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