Suppose you've got a function [itex]\psi(t)[/itex] that satisfies [itex]i\dot \psi = H \psi[/itex] for some self-adjoint Hamiltonian [itex]H[/itex]. I'd like to apply the fundamental theorem of calculus to this guy and write something like(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\psi(t) - \psi(0) = \int_0^t \psi'(s)ds.

[/tex]

Can I do this, given only the very bare conditions I've placed on [itex]\psi[/itex]? Or are there some other things I'd need to assume about [itex]\psi[/itex] to make it kosher?

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# Applying the FTC to an arbitrary solution of the Schrodinger equation

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