EAN: 9783540769545

MATHEMATICAL THEORY OF FEYNMAN PATH INTEGRALS -...

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.

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