- #1
AxiomOfChoice
- 533
- 1
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
[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?
[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?