Recent content by kowalski

Thank you very much, g_edgar and Petek. I will tray this references. I'm very surprised to know that there are such a number of papers in physics with 'p-adics' in their title !. K.

i. Do you mean that there are infinite "real numbers, say R_p" (one for each prime p) apart from the usual reals R?. Why are they interesting, what propierties does they have?. ii. Can you give a (no too esoteric) example of the use of p-adics in Number Theory?. Do they solve 'real' problems...

OK, thank you Avodyne, very interesting wikipedia item!. K.

Thank you bigubau. I will look for this reference. K.

I'm reading the book "Numbers" by Ebbinghaus et al. (Springer Verlag); I can't understand what's the main idea about "p-adic numbers", and what kind of problems can be solved with this sistem of numbers. Can you explain it to me in (as simple as possible...) few words?.

Yes, Gelfand & Fomin , a fine classic. Very nice. K.

Tray B. Dacorogna:Introduction to the Calculus of Variations (Paperback) Paperback: 300 pages Publisher: Imperial College Press; 2 edition (December 10, 2008) Language: English ISBN-10: 1848163347 ISBN-13: 978-1848163348 Kowalski

Hola Cygni, thanks for the references; if I learn how to apply effectively this theory (which is my goal) I will post a resume. Thanx again.

A lot of apparently innocent elementary functions, like exp(-x^2) or (sin x)/x, have not antiderivatives in terms of elementary functions. I've read that "Differential Galois theory" explains this, and gives an algorithmic method to know if a given elementary function has or has not elementary...

Epsilon zero is absolutely meaningless. Use Gaussian or Heaviside-Lorentz units.

Bohr was an ad-hoc model (with rules for producing desired known results) ; and Sommerfeld-Ishiwara applied more general ideas (extremizing the Action integral associated to the problem) based on analytical mechanics.(Not algebraic but analytical calculus--calculus of variations). I think the...

Thank you very much, bigubau!. I will look for this book by Gottfried in the library as soon as possible. Probably he citates the original (Pauli paper) reference. Thanks!.

I've read that the hydrogen atom was solved by means of algebraic methods (similar to creation and annihilation operator for the harmonic oscillator) even before the works of Heisenberg and Schroedinger. Could you give me some information and/or references about this issue?. Thanks, Kowalski.