The similarity of two wave functions is usually measured by the inner product $\langle \psi_1 | \psi_2 \rangle$.

There is a fancier way to measure distance between two density operators, namely, Bures metric.

Are there any other metrics to measure wave function distances?

  • $\begingroup$ probably related. $\endgroup$ – The Photon Apr 6 '17 at 22:18
  • $\begingroup$ Thanks! There are numerous ways to define inner product, but do they have physical significance? $\endgroup$ – Machine Apr 7 '17 at 15:49

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