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Quantum Physics : A Functional Integral Point of View by J. Glimm and A. Jaffe (1981, Hardcover)

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Product Identifiers

PublisherSpringer
ISBN-100387905510
ISBN-139780387905518
eBay Product ID (ePID)4520094

Product Key Features

Number of Pages417 Pages
LanguageEnglish
Publication NameQuantum Physics : a Functional Integral Point of View
Publication Year1981
SubjectPhysics / Quantum Theory, Information Technology, Acoustics & Sound
TypeTextbook
AuthorJ. Glimm, A. Jaffe
Subject AreaComputers, Science
FormatHardcover

Dimensions

Item Weight28.2 Oz

Additional Product Features

Intended AudienceScholarly & Professional
Dewey Edition19
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal530.1/43
SynopsisThis book is addressed to one problem and to three audiences. The problem is the mathematical structure of modem physics: statistical physics, quantum mechanics, and quantum fields. The unity of mathemati cal structure for problems of diverse origin in physics should be no surprise. For classical physics it is provided, for example, by a common mathematical formalism based on the wave equation and Laplace's equation. The unity transcends mathematical structure and encompasses basic phenomena as well. Thus particle physicists, nuclear physicists, and con densed matter physicists have considered similar scientific problems from complementary points of view. The mathematical structure presented here can be described in various terms: partial differential equations in an infinite number of independent variables, linear operators on infinite dimensional spaces, or probability theory and analysis over function spaces. This mathematical structure of quantization is a generalization of the theory of partial differential equa tions, very much as the latter generalizes the theory of ordinary differential equations. Our central theme is the quantization of a nonlinear partial differential equation and the physics of systems with an infinite number of degrees of freedom. Mathematicians, theoretical physicists, and specialists in mathematical physics are the three audiences to which the book is addressed. Each of the three parts is written with a different scientific perspective.", This book is addressed to one problem and to three audiences. The problem is the mathematical structure of modem physics: statistical physics, quantum mechanics, and quantum fields. The unity of mathemati­ cal structure for problems of diverse origin in physics should be no surprise. For classical physics it is provided, for example, by a common mathematical formalism based on the wave equation and Laplace's equation. The unity transcends mathematical structure and encompasses basic phenomena as well. Thus particle physicists, nuclear physicists, and con­ densed matter physicists have considered similar scientific problems from complementary points of view. The mathematical structure presented here can be described in various terms: partial differential equations in an infinite number of independent variables, linear operators on infinite dimensional spaces, or probability theory and analysis over function spaces. This mathematical structure of quantization is a generalization of the theory of partial differential equa­ tions, very much as the latter generalizes the theory of ordinary differential equations. Our central theme is the quantization of a nonlinear partial differential equation and the physics of systems with an infinite number of degrees of freedom. Mathematicians, theoretical physicists, and specialists in mathematical physics are the three audiences to which the book is addressed. Each of the three parts is written with a different scientific perspective.
LC Classification NumberQC221-246QC173.96-1