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

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The discussion centers on the relationship between coordinate space matrix elements, denoted as , and momentum space matrix elements, represented as . Participants highlight the importance of understanding these concepts in the context of quantum mechanics, particularly in relation to the propagator. Bill expresses gratitude for the information provided, indicating that the discussion is valuable for grasping these fundamental quantum mechanics principles.

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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.
 
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sweet, thanks. good information.
 

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