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Is fourier analysis unavoidable?

  1. Apr 22, 2004 #1
    From the beginning of quantum mechanics the main tool for mathematical analysis was fourier anaysis. (Heisenberg intoduced his famous matrices using fourier analysis). Fourier analysis has a non-local character-that the basis functions extend infinitely in space and time. What would be the physical implications if we used a local analytical method, e.g wavelets. This has been proposed by J.R. Croca:

    http://redshift.vif.com/JournalFiles/Pre2001/V06NO3PDF/V06N3cro.pdf

    In this paper the author claims, uncertainty relations are due to use of fourier analysis and using wavelets we can go beyond the uncertainity limit.

    I'm waiting for ideas!
     
  2. jcsd
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