Wave Functions Energy Levels and Particles

[@hagel4742]

thank you for such a wonderful explanation~~

[@szjozsi]

the wave function is not a function, it is a section in a complex line bundle over the physical space. to really understand it requires deep knowledge in topology.

[@drholton]

This is for a gchem class not a upper division or grad school class. Any quantum mechanics taught at a level that doesn't even require calculus is going to be incredibly simplified. I'd suggest speaking with your graduate school professors and peers if you need help with this level of quantum.

[@szjozsi]

@@drholton the wave function is a scalar field on the base space. If u have M base space and C complex line bundle then psi is a function that goes from the physical sace into the complex numbers. but it would be true only if the C line bundle would always be a product MxC but it is not the case if you stay in cartesian coordinates in the physical space. it depends on if the covariant derivative can be created on a trivial or non trivial manner. that is what determines what is a function. It is just question of definition. But the term wave fucntion is dubious although widely used to really understand what it is needs deeper digging into the field of topology.

[@amandajoyholton8070]

Thank you for explaining this in greater depth to all the physics, math and chemistry grad students coming to freshmen chemistry youtube videos for help. I'm sure they appreciate it.

[@tjgolobic8759]

@@amandajoyholton8070 living for how you ate him alive. also what chemical is your necklace?

[@alicialin4751]

Who asked + wave check + ratio

[@joshuazeidner8419]

a woman reads off something about physics. gather round folks.