I want know the meaning of time reversal or inversion symmetry breaking ? From band structure calculations, how to figure out these phenomena ?
T-symmetry can be shown to be equivalent to the conservation of entropy, by Noether's Theorem. But as the second law of thermodynamics does not permit entropy to be conserved in general, it follows that the observable universe does not in general show symmetry under time reversal. In other words, time is said to be non-symmetric, or asymmetric, except for special equilibrium states when the second law of thermodynamics predicts the time symmetry to hold. However, quantum noninvasive measurements are predicted to violate time symmetry even in equilibrium, contrary to their classical counterparts, although this has not yet been experimentally confirmed.
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