Consider the S-matrix:(adsbygoogle = window.adsbygoogle || []).push({});

<f|U(t,-t)|i>

When going into the interaction picture, this becomes:

[tex]<f_I|U_I(t,-t)|i_I> [/tex]

where the propagator is the interaction picture propagator, and the states are interaction states.

Can you say that:

[tex]<f_I|U_I(t,-t)|i_I>= <f|U_I(t,-t)|i>[/tex] ?

It seems that the two sides of the above equation differ by phase factors that don't really matter when calculating probabilities.

However, when making calculations, don't the states |i> and |f> need to be in the Schrodinger picture?

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# Interaction picture and s-matrix

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