Path Integral Approach to Quantum Physics An Introduction

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

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Springer-Verlag Berlin Heidelberg GmbH

Texts and Monographs in Physics Series Editors: R. Balian W. Beiglbock H. Grosse E. H. Lieb N. Reshetikhin H. Spohn W. Thirring From Microphysics to Macrophysics I + n Methods and Applications of Statistical Physics By R. Balian

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Quantum Entropy and Its Use By M. Ohya and D. Petz Generalized Coherent States and Their Applications By A. Perelomov Essential Relativity Special, General, and Cosmological 2nd revised edition By W. Rindler Path Integral Approach to Quantum Physics An Introduction 2nd printing By G. Roepstorff Advanced Quantum Theory and Its Applications Through Feynman Diagrams 2nd edition By M. D. Scadron Finite Quantum Electrodynamics The Causal Approach 2nd edition ByG. Scharf From Electrostatics to Optics A Concise Electrodynamics Course By G. Scharf Large Scale Dynamics of Interacting Particles By H. Spohn General Relativity and Relativistic Astrophysics By N. Straumann The Dirac Equation By B. Thaller The Theory of Quark and Gluon Interactions 2nd completely revised and enlarged edition By F. J. Yndurain

Gert Roepstorff

Path Integral Approach to Quantum Physics An Introduction With 26 Figures

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Springer

Professor Df. Gert Roepstorff Institut fiirTheoretisclle Pllys ik, Rheinisch-Westflilische Technische Hochschllie Aachen RWTH-Physikzenlrum, 0-52062 Aachen, Germany

Editors Roger Balian

Nicolai Reshetikhin

CEA Departmertt of Mathematics Service de Physiqlle Theoriq ue de Saclay University of California F-9 11 91 Gif-sur-Yvette, France Berkeley, CA 94720-3840, USA

Wolf Beiglbock

Herbert Spohn

Institut fUr Angewandte Mathematik Uni versi tăt Heidelberg Im Nellenheimer Feld 294 D-69120 Heidelberg, Germany

Theoretische Physik Ludwig-M ax imilians-Universitlit MUnchen Thercsienstra6e 37 D-80333 MUnchert, Gcrmany

Harald Grosse

Walter Thirring

Institut fUr Theoretische Physik Un ive rs ităt Wien Boltzmanngasse 5 A- I090 Wien, Austria

Institut fur Theoretische Physik Universitlit Wiert Boltzmartrtgasse 5 A- I09Q Wiert, Aumia

ElIiott H, Lieb lad win Hali Princeton Urt iversity, P. O. Box708 Princetort, NJ 08544-0708, USA li brary QfCo