How can I find the Hermitian conjugate of the differential operator D, with

D psi = 1/i dpart/dpart(x) psi?

I know you can do this with partial integration starting from

<phi|D|psi>* = <phi|D+|psi>

but how exactly does it work?

I'm sorry for using such an ugly notation but I am new to this forum and not yet familiar with other more beautiful notations.

Thanks a lot in advance, everyone!

Best regards

Torsten