Unformatted text preview: p   ) ( , where p x is a continuous ( real ) variable. The eigenkets for an orthonormal set ) ' (  ' x x x x p p p p − >= < . The eigenkets of the momentum operator form a complete set of states, in terms of which any “ket” can be expanded ( the p xrepresentation ) as follows: ∫ > >= x x x dp p p  ) (  with 1   = >< ∫ dx p p x x The expansion coefficients are complex functions and are given by ) ( ' '  ) ' (  x x x x x x p dp p p p p = > < >= < ∫ or > =<  ) ( x x p p , where ψ (p x ) is the momentumspace wave function. If we make a measurement the probability of measuring p x between p x and p x +dp x is 2  ) (  ) ( x x p p = , The overlap between two arbitrary wave functions is x x x x x x dp p p dp p p I ∫ ∫ ∗ = > >< < >= >=< < ) ( ) (      ....
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 Spring '07
 FIELDS
 mechanics, Momentum, complete set, Department of Physics, R. D. Field, real) variable., arbitrary wave functions

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