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Mathematical Theory of Feynman Path Integrals: An Introduction

✍ Scribed by Sergio A. Albeverio, Raphael J. Høegh-Krohn, Sonia Mazzucchi (auth.)


Book ID
127447466
Publisher
Springer
Year
2008
Tongue
English
Weight
2 MB
Edition
2
Category
Library
City
Berlin
ISBN
3540769560

No coin nor oath required. For personal study only.

✦ Synopsis


Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory.

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments since then, an entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

✦ Subjects


Quantum Physics


📜 SIMILAR VOLUMES


Mathematical theory of Feynman path inte
✍ Sergio A. Albeverio, Raphael J. H. Egh-Krohn 📂 Library 📅 1976 🏛 Not Avail 🌐 English ⚖ 1008 KB

In this work we develop a general theory of oscillatory integrals on real Hilbert spaces and apply it to the mathematical foundation of the so called Feynman path integrals of non relativistic quantum mechanics, quantum statistical mechanics and quantum field theory. The translation invariant integr

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✍ Grosche C. 📂 Library 📅 1992 🌐 English ⚖ 670 KB

In this lecture a short introduction is given into the theory of the Feynman path integral in quantum mechanics. The general formulation in Riemann spaces will be given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian. Also, the theory

Handbook of Feynman Path Integrals
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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. The book pres