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Unformatted text preview: What happens to the ket in the open space? Does the wavefunction change as a function of position? More realistically we need an operator to account for electron motion through space. We will take this to be G . The evolution through the double slit apparatus can then be represented as below. 1,2 | | | | | | | i i i i i y s y G s s T s s G s = < >= < >< >< > T = transmission operator G = propagation operator 1,2 1,2 1,2 | | | | | | | | | | | | | | | | | ( ) | i i i i i i i i i i i y G s s T s s G s T y G s s G s T y G s s G s T y GG s y DS s = = = < >< >< >= < >< > < >< > < > < > where (DS) is the double slit operator. The last line is often referred to as a scattering amplitude....
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