Overview
Explore the mathematical solutions of the Schrodinger equation for the hydrogen atom in this 46-minute physics lecture, delving into spherical harmonics, radial functions, and energy eigenstates. Learn about absorption and emission spectra while following detailed mathematical derivations supported by comprehensive references to academic papers and mathematical resources. Progress through key quantum mechanical concepts including eigenvalues, spherical harmonics tables, and the complete solution of the Schrodinger equation for the simplest atomic system in nature. Master fundamental quantum physics principles through step-by-step explanations that bridge theoretical concepts with practical applications in atomic spectroscopy.
Syllabus
Intro
Spherical Harmonics
Radial Functions
Energy Eigenstates and Eigenvalues
Absorption/Emission Spectrum
Solving the S.E.
Concluding Remarks
Taught by
Richard Behiel