1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Position operator in infinte vector space

  1. Sep 30, 2008 #1
    1. The problem statement, all variables and given/known data

    Find an expression for <P|X|P> in terms of P(x) defined as <x|P> (and possibly P*(x) )

    2. Relevant equations

    X|P> = x|P>
    Identity operator: integral of |x><x| dx

    3. The attempt at a solution

    Ok...<P|X|P> add the identity
    = Integral [ <P|X|x> <x|P> dx ]
    = Integral [<P|x|x> <x|P> dx ] Here I'm assuming x is a scalar and can be pulled out of the inner product
    = Integral [ x <P|x> <x|P> dx ]
    = Integral [ x <x|P>* <x|P> dx ]
    = Integral [ x P*(x) P(x) dx ]

    Does this look right?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?



Similar Discussions: Position operator in infinte vector space
  1. Linear Operators (Replies: 0)

  2. Real positive mappings (Replies: 0)

Loading...