Ebook: Path Integral Approach to Quantum Physics: An Introduction
Author: Gert Roepstorff (auth.)
- Genre: Physics // Quantum Physics
- Tags: Mathematical Methods in Physics, Quantum Physics
- Series: Texts and Monographs in Physics
- Year: 1994
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This book has been written twice. After having written and published it in German in 1990, I started allover again and rewrote the whole story for an English speaking audience. During the first round I received encouraging words and critical remarks from students and colleagues alike which have helped to sustain me the second time around. In the preface the author usually states that his or her book resulted from a course that he or she gave at some university. I cannot claim that the present book is any exception to the rule. But I expanded and remodelled the original material which circulated as a manuscript so that the printed version would follow a more stringent and coherent architectural plan. In doing so I have concentrated on the conceptual problems inherent in the path integral formalism rather than on certain highly specialized techniques used in applications. Nevertheless, I have also included those methods that are of fundamental interest and have treated specific problems mainly to illustrate them.
The present text is designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible. The author concentrates on the conceptual problems inherent in the path integral formalism. The striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore. The reader will find all the methods of fundamental interest amply illustrated by important physical examples.
The present text is designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible. The author concentrates on the conceptual problems inherent in the path integral formalism. The striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore. The reader will find all the methods of fundamental interest amply illustrated by important physical examples.
Content:
Front Matter....Pages I-XIII
Brownian Motion....Pages 1-38
The Feynman-Kac Formula....Pages 39-108
The Brownian Bridge....Pages 109-149
Fourier Decomposition....Pages 150-169
The Linear-Coupling Theory of Bosons....Pages 170-191
Magnetic Fields....Pages 192-214
Euclidean Field Theory....Pages 215-241
Field Theory on a Lattice....Pages 242-280
The Quantization of Gauge Theories....Pages 281-315
Fermions....Pages 316-348
Back Matter....Pages 349-389
The present text is designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible. The author concentrates on the conceptual problems inherent in the path integral formalism. The striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore. The reader will find all the methods of fundamental interest amply illustrated by important physical examples.
Content:
Front Matter....Pages I-XIII
Brownian Motion....Pages 1-38
The Feynman-Kac Formula....Pages 39-108
The Brownian Bridge....Pages 109-149
Fourier Decomposition....Pages 150-169
The Linear-Coupling Theory of Bosons....Pages 170-191
Magnetic Fields....Pages 192-214
Euclidean Field Theory....Pages 215-241
Field Theory on a Lattice....Pages 242-280
The Quantization of Gauge Theories....Pages 281-315
Fermions....Pages 316-348
Back Matter....Pages 349-389
....