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Homework Help: Question about notation in Matrix problem

  1. Sep 30, 2006 #1
    Hello,

    I'm somewhat confused about the notation in problem 4c of http://www.its.caltech.edu/~hmabuchi/Ph125a/HW1.pdf

    In part a, I found the matrix R. I was wondering what was meant by a,b exist in R. My guess is that R in the latter case refers to the set of all real numbers, and that the R in v = a*R + b*R^2 is the matrix R corresponding to the observable r.

    Could somebody confirm, or am I totally off?

    Also, I'm not sure how to intepret what v is.
     
  2. jcsd
  3. Sep 30, 2006 #2
    a and b are elements of the real numbers so I think your first statement was correct. If we say that R tells how the probabilities combine to get the expecation value then I think that R^2 will tell us about how the squares of the probabilites will add which tells us about the dispersion of the measure. I am not 100% sold on this since usually the disperson is given as <x>^2-<x^2> (maybe off by a sign here.) so the lack of a square post expectation value is discerning

    Tom
     
  4. Sep 30, 2006 #3
    Ok, thanks!
     
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