Is it true that unitary transform in QM corresponds to canonical transformation in classical mechanics in this way:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\hat{U}\Psi[O] = \Psi[O'][/tex]

state [tex]\Psi[O][/tex] is a functional of the observable algebra, satisfying positivity and normalization conditions. [tex]O'[/tex] is the canonically transformed observable.

what does it look like in the case of wave function [tex]\psi(x)[/tex] ???

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# Is it true that unitary transform in QM corresponds to canonical transform

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