How Do You Compute Derivatives in Dirac Notation with Mathematica?

[Jooya]

Hi everybody,

I am trying to get the partial derivative of the following with respect to Si[t] and Phi[t] separately:

Integrate[<Phi[t]|H|Si[t]>]

The operator H is the partial derivative with respect to t.

I tried this in Mathematica, calling

Needs["Quantum`Notation`"]

but I end up with an strange term : " zz080Bra' "

Any help and advice in this line is appreciated.

 

[Fredrik]

I am trying to get the partial derivative of the following with respect to Si[t] and Phi[t] separately:

Integrate[<Phi[t]|H|Si[t]>]

The operator H is the partial derivative with respect to t.

I don't see how to make sense of this. For starters, if |\phi(t)\rangle is a ket, \phi(t) doesn't make sense on its own, and \partial/\partial\phi(t) makes even less sense.