Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Introductory books on quantum mechanics

  1. Apr 23, 2009 #1
    The math part seems really interesting too, it is mainly based on linear operators on hilbert spaces. But, it seems to me that it only uses inner product (pre-hilbert) spaces, then why these authors (and also paper authors) refers always to hilbert spaces?
     
    Last edited by a moderator: Apr 23, 2009
  2. jcsd
  3. Apr 23, 2009 #2

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member


    Convergence.

    What does

    1 = 1/2 + 1/4 + 1/8 + ...

    mean?

    It means that the sequence of partial sums converges to 1, i.e., has limit 1.

    Much the same thing often is necessary in the state spaces of qauntum mechanical systems. See the third-last and second-last paragraphs on page 26 of Ballentine.
     
  4. Apr 23, 2009 #3
    thank you very much for your answers, that was fast!!

    I will certaintly take a look at these tips!!!
     
  5. Apr 23, 2009 #4

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Welcome to Physics Forums mvillagra!

    I split your post into two threads. The math/physics part remains here, and the book part has been moved to

    https://www.physicsforums.com/showthread.php?t=309230

    in the Science Book Discussion Forum.

    Sorry for any confusion that this has caused.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook