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Begin a three-part exploration of quantum physics with this introductory video lecture focusing on the hydrogen atom. Discover why electrons don't collapse into the nucleus, understand the massive yet tiny nature of protons, and explore essential mathematical concepts including spherical coordinate systems. Learn fundamental quantum mechanics principles through the Schrödinger equation, eigenvalues, and wave functions (psi). Master key concepts like psi, rho, and hbar while building up to the construction of the Hamiltonian and three-dimensional partial differential equations. Prepare for upcoming parts that will delve into solving the Schrödinger equation, examining hydrogen spectra, exploring the Dirac equation's relationship to spin and antimatter, and investigating advanced concepts like the Lamb shift and quantum electrodynamics.
Syllabus
Intro
Why doesn't the electron fall in?
Proton is Massive and Tiny
Spherical Coordinate System
Defining psi, rho, and hbar
But what do the electron do? Schrodinger Eq.
Eigenstuff
Constructing the Hamiltonian
Setting up the 3D P.D.E. for psi
Taught by
Richard Behiel