Quantum harmonic oscillator via power series
Channel: Brant Carlson
Date: 2013-05-15

This video describes the solution to the time independent Schrodinger equation for the quantum harmonic oscillator with power series, including change of variables, removal of the asymptotic solution, the resulting recurrence relation, how the requirement of normalizability leads to quantization, and the structure of the solutions in terms of Hermite polynomials.  (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics.  The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)