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A qn on quantum mechanics

  1. Apr 9, 2005 #1

    In general, how does one find the eigenvalues of an operator?

    I have a problem which goes like this:

    Consider a 1-D Hamilton operator of the form:

    H = (P^2)/2M - |v> V <v| ,​
    where the potential strength V is a positive constant and |v><v| is a normalised projector, <v|v> = 1. Determine all negative eigenvalues of H if |v> has the position wave function: <x|v> = sqrt(K) exp(-K|x|) with K>0.

    Can someone suggest a rough approach to solving this type of questions? I don't have a clue as to how i should start.

  2. jcsd
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