Rigorous Time Slicing Approach to Feynman Path Integrals, Daisuke Fujiwara

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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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.

Автор: Nahin, Paul J.
Название: Inside Interesting Integrals
ISBN: 1493912763 ISBN-13(EAN): 9781493912766
Издательство: Springer
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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;

Автор: Christian Grosche; Frank Steiner
Название: Handbook of Feynman Path Integrals
ISBN: 3662147610 ISBN-13(EAN): 9783662147610
Издательство: Springer
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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.

Автор: Vladimir A. Smirnov
Название: Evaluating Feynman Integrals
ISBN: 3642062970 ISBN-13(EAN): 9783642062971
Издательство: Springer
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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.

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

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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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.

Автор: Baaquie
Название: Path Integrals and Hamiltonians
ISBN: 1107009790 ISBN-13(EAN): 9781107009790
Издательство: Cambridge Academ
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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.

Автор: Dragoslav S. Mitrinovic; J. Pecaric; A.M Fink
Название: Inequalities Involving Functions and Their Integrals and Derivatives
ISBN: 0792313305 ISBN-13(EAN): 9780792313304
Издательство: Springer
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Описание: Provides a comprehensive survey of inequalities that involve a relationship between a function and its derivatives or integrals. This book is divided into 18 chapters dealing with specific inequalities such as those of Kolmogorov-Landau, Wirtinger, Hardy, Carlson, and others. It is for those involved in differential and integral equations.

Автор: Gozzi Ennio Et Al
Название: Path Integrals For Pedestrians
ISBN: 9814603929 ISBN-13(EAN): 9789814603928
Издательство: World Scientific Publishing
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Описание: This is a book on path integrals which provides a quick and swift description of the topic. It contains original material that never before has appeared in a book. The new topics include the path integrals for the Wigner functions and for Classical Mechanics.

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

Автор: Richard J. Szabo
Название: Equivariant Cohomology and Localization of Path Integrals
ISBN: 3662142848 ISBN-13(EAN): 9783662142844
Издательство: Springer
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Описание: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability.