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Associated Legendre functions
Required math: calculus Required physics: none One of the differential equations that turns up in the solution in the three-dimensional Schrödinger equation is Legendre’s equation: We saw in another...
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Associated Legendre functions – orthogonality
Required math: calculus Required physics: none We have found in another post the associated Legendre functions which are solutions of the general Legendre equation In terms of the Legendre polynomials,...
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Schrödinger equation in three dimensions – spherical harmonics
Required math: calculus Required physics: Schrödinger equation Reference: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Sec 4.1. Although some physical...
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