P-adic analysis and mathematical physics
著者
書誌事項
P-adic analysis and mathematical physics
（Series on Soviet and East European mathematics, v. 1）
World Scientific, c1994
- タイトル別名
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þ-adic analysis and mathematical physics
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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.
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