Andrei Y Khrennikov

(Author)

P-Adic Valued Distributions in Mathematical PhysicsPaperback, 3 December 2010

P-Adic Valued Distributions in Mathematical Physics
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
264 pages
Language
English
Publisher
Springer
Date Published
3 Dec 2010
ISBN-10
9048144760
ISBN-13
9789048144761

Description

Numbers ..., natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number before now. I was in the same situation few years ago. p-adic numbers were considered as an exotic part of pure mathematics without any application. I have also used only real and complex numbers in my investigations in functional analysis and its applications to the quantum field theory and I was sure that these number fields can be a basis of every physical model generated by nature. But recently new models of the quantum physics were proposed on the basis of p-adic numbers field Qp. What are p-adic numbers, p-adic analysis, p-adic physics, p-adic probability? p-adic numbers were introduced by K. Hensel (1904) in connection with problems of the pure theory of numbers. The construction of Qp is very similar to the construction of (p is a fixed prime number, p = 2,3,5, ...,127, ... ). Both these number fields are completions of the field of rational numbers Q. But another valuation 1 . Ip is introduced on Q instead of the usual real valuation 1 . I- We get an infinite sequence of non isomorphic completions of Q: Q2, Q3, ..., Q127, ..., IR = Qoo- These fields are the only possibilities to com plete Q according to the famous theorem of Ostrowsky.

Product Details

Author:
Andrei Y Khrennikov
Book Format:
Paperback
Country of Origin:
NL
Date Published:
3 December 2010
Dimensions:
23.39 x 15.6 x 1.52 cm
ISBN-10:
9048144760
ISBN-13:
9789048144761
Language:
English
Location:
Dordrecht
Pages:
264
Publisher:
Weight:
399.16 gm

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