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I Inequality for the time evolution of an overlap

  1. May 20, 2017 #1
  2. jcsd
  3. May 20, 2017 #2

    hilbert2

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    You should post this in the Homework forum, using the correct question template.

    The function ##\left<\psi (0)|\psi(t)\right>## is called an autocorrelation function. You could start by playing with a two-state system where the state space is spanned by only two vectors, and finding out how the autocorrelation function of ##a|\psi_1 > + b|\psi_2 >## depends on how similar in absolute value the coefficients ##a,b## are. ##|\psi_1 >## and ##|\psi_2 >## are the energy eigenstates here.
     
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