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. 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.
Mathematical Theory of Feynman Path Integrals
Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus, Mem. Amer. Math. Soc. 62, 351, pp. 1–78. [202] Johnson, G. and Lapidus, M. (1988). Noncommutative operations on Wiener ...
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.
This book provides an ideal introduction to the use of Feynman path integrals in the fields of quantum mechanics and statistical physics.
Johnson , G. W. and Lapidus , M. L. , Generalized Dyson series , generalized Feynman diagrams , the Feynman integral and Feynman's operational calculus . Memoirs Amer . Math . Soc . 62 ( 1986 ) , No. 351 , 1–78 .
Handbook of Feynman Path Integrals
Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals.
Choice Recommended Title, February 2020 This book explores quantum field theory using the Feynman functional and diagrammatic techniques as foundations to apply Quantum Field Theory to a broad range of topics in physics.
Cameron, R.H.: The Ilstow and Feynman integrals. J. d'Anal. Math. 10, 287–361 (1962) 15. Cameron, R.H., Storvick, D.: A simple definition of the Feynman integral with application. Mem. AMS 288. American Mathematical Society (1983) 16.
Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.