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Short lecture on the hydrogen atom in quantum mechanics. The hydrogen atom quantum mechanical model system has a proton fixed at the origin and an electron which can move anywhere in 3 dimensions. The Hamiltonian operator is the kinetic energy of the electron plus the potential energy of the electron's attraction to the nucleus / proton. The potential energy depends only on the electron's distance from the nucleus, thus we express the Hamiltonian and the wavefunction in terms of spherical polar coordinates. The potential energy function is the product of the charge of the electron and proton divided by [ 4 pi epsilon_nought r], where r is the electron's distance from the proton / origin. Notes Slide: http://i.imgur.com/CruEB37.png -- About TMP Chem -- All TMP Chem content is free for everyone, everywhere, and created independently by Trent Parker. Email: [email protected] -- Video Links -- Chapter Playlist: • Hydrogen Atom Course Playlist: • Quantum Chemistry and Spectroscopy Course Review: • Quantum Chemistry Chapter Reviews Other Courses: • PChem Course Intros Channel Info: • About TMP Chem -- Social Links -- Facebook: / tmpchem Twitter: / tmpchem LinkedIn: / tmpchem Imgur: https://tmpchem.imgur.com GitHub: https://www.github.com/tmpchem -- Equipment -- Microphone: Blue Yeti USB Microphone Drawing Tablet: Wacom Intuos Pen and Touch Small Drawing Program: Autodesk Sketchbook Express Screen Capture: Corel Visual Studio Pro X8