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Functions of time 0?

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Hi Guys,

In a lot of books dealing with spectroscopy, correlation functions or any kind of functions involving time sometimes take the form like this:

[itex]\left\langle A[q,u(t)]A^{*}[q,u(o)] \right\rangle[/itex]

Where [itex]A[/itex] is some function that depends on say [itex]q[/itex] and [itex]u[/itex], and [itex]u[/itex] is another function that depends on time [itex]t[/itex].

What is the physical significance of the multiplication by its conjugate at time [itex]t = 0[/itex]?

Thanks

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