Quantum Physics: A Functional Integral Point of View - Softcover

Glimm, James (Author)., Arthur Jaffe (Author)

Softcover

ISBN 10: 0387905626 ISBN 13: 9780387905624

Publisher: Springer-Verlag, 1981

Synopsis

This book is addressed to one problem and to three audiences. The problem is the mathematical structure of modem 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 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."

Edition details

• Publisher: Springer-Verlag
• Publication date: 1981
• Language: English
• ISBN 10: 0387905626
• ISBN 13: 9780387905624
• Binding: Paperback
• Edition number: 1
• Number of pages: 417