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How to complete this

  1. Jan 23, 2008 #1
    1. The problem statement, all variables and given/known data

    I am to find the eigenstate of the operator i(d/dx)

    2. Relevant equations

    3. The attempt at a solution

    After writing the eigenvalue equation with eigenvalue a, I got

    |psi|=exp [(a/i)x+C] where C is the constant of integration...

    Now, I do not understand what will be the result, if I omit the || sign from psi

    The wave function has to be finite all the way-so,should there be any -ve sign before the exponent?
  2. jcsd
  3. Jan 24, 2008 #2


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    Science Advisor
    Homework Helper

    Can you show how you did it, |psi|=exp [(a/i)x+C] is very wrong in my opinion.

    Hint: what function has the same derivate as itself?

    Then generalize it.

    And by the way, exp(-i*ax+C) is finite for all real x.
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