#thinking abt the spectral resolution of unity on bases in hilbert spaces in quantum mechanics | Explore Tumblr posts and blogs

sparkofthetelling · 1 year ago

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sitting in on an abstract algebra class and it's like

damn I love abstract math but boy do I hate having to do the logic myself

this is so cool but please don't make me prove it mathematicians just let me make my silly statements please please please

also I think part of it is how seeing the formalism comes together and builds the construction of physics concepts and vice versa, and my interest in teaching wanting me to make sure I'm using the correct language to ensure I'm not entrenching people's conceptions of the physics in something that's completely wrong, because (and please share thoughts if anyone has any) I feel like it's far easier to adapt your understanding later if it's made very clear that you're missing part of the story

#thinking abt the spectral resolution of unity on bases in hilbert spaces in quantum mechanics #because someone in the class at my uni rn said "it's weird because 1 is just a number but it's somehow equal to the sum over a complete set #of bases and like that doesn't feel right to me #but I don't know enough right now to know for sure!#so like I'm prob gonna ask the linear alg instructor at my uni because he's russian and goofy abt physics and I took him 9 semesters ago #because he might be able to help clarify for me if what my thought process abt it was did in fact communicate the idea correctly

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