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QM and maths?

  1. May 18, 2007 #1
    Does it surprise you that the fundalmentals of wave mechanics fits so nicely into an inner product space. I assume this kind of algebra existed long ago but QM seem to fit perfectly into it. How amazing is that?
  2. jcsd
  3. May 19, 2007 #2
    Maybe it's because waves are written with exponentials, and and so a product of two waves is still an exponential, and the derivative too?
  4. May 19, 2007 #3


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    Once you learn about generalized vector spaces, and the fact that you can pretty much define ANY inner product for a given space of functions, this doesn't seem too extraordinary. The L^2 space of square integrable functions is by no means special.

    edit: this isn't to say that all definitions of spaces with all given inner products are USEFUL to us(in the context of solving problems in QM)
    Last edited: May 19, 2007
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