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If the dynamics of the system are descibed by a Hamiltonian, H please could someone explain when should I be using

[tex]|\right \psi(t) \rangle=H\left |\right \psi(0) \rangle[/tex]

and when to use

[tex]|\right \psi(t) \rangle=U\left |\right \psi(0) \rangle[/tex]

where

[tex]U=e^{-iHt/\hbar}[/tex]

Thank you

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# When to use H when to use U(H)?

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