P-Adic Analysis and Mathematical Physics (Series on Soviet & East European Mathematics)

Vladimir I, Khokhlov/ Volovich, I. V./ Zlelnov, E.I.

World Scientific Publishing Co Pte Ltd（1998/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 340 p.
• 言語 ENG
• 商品コード 9789810236496

Full Description

P-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately P-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-archimedean geometry of space-time at small distances. This is the "first" book to deal with applications of P-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to P-adic numbers and P-adic analysis with great numbers of examples as well as applications of P-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.

Contents

P-adic numbers; p-adic analysis; non-Archimedean geometry; distribution theory; pseudo differential operators and spectral theory; p-adic quantum mechanics and representation theory; quantum field theory; p-adic strings.