by L D Faddeev (St Petersburg, Russia)

L D Faddeev was born in 1934 in Leningrad, USSR (now St Petersburg, Russia), and his personal and scientific life have been closely connected with that city. He graduated from Leningrad University in 1959 and has since been occupying a research position in the Leningrad (or St Petersburg) Branch of the Steklov Mathematical Institute of the Soviet (now Russian) Academy of Sciences. There he gradually organized the Laboratory of Mathematical Methods in Physics, which he has been heading until now (in addition to holding several administrative positions). The subject of his research reflects several new tendencies in modern mathematical physics, some of which were pioneered by Prof Faddeev himself. Among them one can mention quantization of the Yang-Mills field, scattering theory, and quantum theory of solitons. He is author or coauthor of 5 monographs and 150 papers.Prof Faddeev was an invited speaker and/or lecturer at numerous international conferences, workshops and schools. He was President of the International Mathematical Union from 1986 to 1990, and is a member of the Russian Academy of Sciences and a foreign member of several academies. Among his academic achievements are the Danni Heinemann Prize in Mathematical Physics, the Dirac Medal and the UAP Prize.
 

This is a collection of Prof L D Faddeev's important lectures, papers and talks. Some of these have not been published before and some have, for the first time, been translated from Russian into English. The topics covered correspond to several distinctive and pioneering contributions of Prof Faddeev to modern mathematical physics: quantization of YangߝMills and Einstein gravitational fields, soliton theory, the many-dimensional inverse problem in potential scattering, the Hamiltonian approach to anomalies, and the theory of quantum integrable models. There are also two papers on more general aspects of the interrelations between physics and mathematics as well as an autobiographical essay.

• Perturbation Theory for Gauge-Invariant Fields
• The Feynman Integral for Singular Lagrangians
• Covariant Quantization of the Gravitational Field
• Quantum Completely Integrable Models in Field Theory
• From Integrable Models to Conformal Field Theory via Quantum Groups
• Hamiltonian Approach to the Theory of Anomalies
• The Energy Problem in Einstein's Theory of Gravitation
• Lagrangian Mechanics in Invariant Form
• Einstein and Several Contemporary Tendencies in the Theory of Elementary Particles
• A Mathematician's View of the Development of Physics
• and other papers