Coordinate space matrix elements <x|H|x'>. what are these?

[catsarebad]

I'm asked to figure out how the so-called "coordinate space matrix elements" relate to "momentum space matrix elements <p|H|p'> but I don't understand what they are.

any idea on how <x|H|x'> is defined?

thanks in advance.

 

[bhobba]

Check out:
https://www.physicsforums.com/threads/Schrödinger-equation-in-momentum-space.507762/

What he is talking about is related to the propagator:
http://www.ecm.ub.es/~espriu/teaching/classes/fae/LECT5.pdf

I suspect that's what its leading up to.

Thanks
Bill

 

[catsarebad]

sweet, thanks. good information.