Evaluating Feynman Integrals, Vladimir A. Smirnov

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: Daisuke Fujiwara
Название: Rigorous Time Slicing Approach to Feynman Path Integrals
ISBN: 4431565515 ISBN-13(EAN): 9784431565512
Издательство: Springer
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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.

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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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: 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.