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> Physics has more than just the Schrödinger equation. It was a course in Quantum Mechanics, specifically. > With a solid foundation in second-order PDEs, it'
by thebooktocome 13y ago
> Physics has more than just the Schrödinger equation.
It was a course in Quantum Mechanics, specifically.
> With a solid foundation in second-order PDEs, it's a matter of setting up the boundary conditions and solving for the Fourier series. The boundary conditions were superimposeable combinations of simpler forms, so it was mostly a matter of determining the correct Fourier series for those forms, then simplifying.
In a usual undergrad course on QM, e.g., following Griffiths, one only solves SE with particular choices of potential -- usually only infinite well and QHO, and maybe a double well to illustrate tunneling. Neither really requires a background in Fourier series.
- dalke 13y agoAhh, I see. I left the train of discussion, and reinterpreted "physics" in the broad sense, rather than actual topic of "physics for an undergraduate quantum course." My apologies, and thanks for the clarification.