Orthogonal Polynomials in Physics

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Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explains how to find particular solutions for first-order differential equations using different types of functions.

Explores solving homogeneous differential equations using polynomials to find solutions step by step.

Covers general solutions of differential equations, focusing on particular and homogeneous solutions.

Covers the method of plates with coefficients to find solutions of differential equations.

Explores the concept of separation of variables in quantum mechanics and its application in solving differential equations.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Series covers spherical coordinates, harmonics, Legendre polynomials, and angular momentum.

Discusses the harmonic oscillator in quantum mechanics and its implications for molecular interactions and energy levels.

Explores the implicit function theorem and Taylor polynomials in differential equations.