Day 264: Special Functions and FFT

Learning Objectives

• •**Use Hermite polynomials** for harmonic oscillator wave functions
• •**Compute spherical harmonics** for angular momentum eigenstates
• •**Apply Bessel functions** to cylindrical and spherical problems
• •**Perform FFT and inverse FFT** for spectral analysis
• •**Transform between position and momentum space**
• •**Implement spectral methods** for solving PDEs
• •**Recognize special function patterns** in quantum mechanics

Today's Schedule (7 hours)