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Time reversal symmetry seems to be a very useful concept and is mentioned in a good number of papers I recently came across. Most of the time people claim that a certain system or Hamiltonian is time reversal invariant and deduce certain properties without going further into details.

I have a hard time grasping the entire time reversal symmetry thing and would like to read more on the subject in general. So I was wondering whether anybody had good literature references? Preferably with a lot of applications and examples. I know the mathematical definition, but its applications usually elude me.

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