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00:00 Introduction
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Classroom Contents
Quantum Harmonic Oscillator - Analytic Method for Eigenvalues and Eigenfunctions
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- 1 00:00 Introduction
- 2 05:42 Schrodinger Equation - Variable Substitution
- 3 12:42 Asymptotic Behavior - Gaussian Function for large x
- 4 18:46 Trial Function for small x
- 5 25:35 Power Series Solution
- 6 33:20 Recursion Relation & Asymptotic Behavior
- 7 46:48 Truncation Condition & Energy Eigenvalues
- 8 58:49 Hermite Polynomials
- 9 1:19:15 Final Results & Plots