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I am studying for a Quantum Mechanics final and our prof. gave us an equations sheet with some of the equations needed for the exam.

I was wondering what the following equations could be used for. We have covered spherical harmonics, the Hydrogen Atom, Degenerate Perturbation Theory, Spin, Stationary Electron in a Magnetic field, Addition of Angular Momentum (J, Jz) using Clebsch Gordon table, and Spin Orbit and the Zeeman Effect. I am a little confused by the dirac form.

Sorry about the pdf form... it wouldnt let me paste the code into the text!

Thanks

I was wondering what the following equations could be used for. We have covered spherical harmonics, the Hydrogen Atom, Degenerate Perturbation Theory, Spin, Stationary Electron in a Magnetic field, Addition of Angular Momentum (J, Jz) using Clebsch Gordon table, and Spin Orbit and the Zeeman Effect. I am a little confused by the dirac form.

Sorry about the pdf form... it wouldnt let me paste the code into the text!

Thanks