Quantum Chemistry and Spectroscopy - Quantum Chemistry 7.1 - Hydrogen Atom Model

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: https://www.youtube.com/playlist?list=PLm8ZSArAXicLqbzYEN863Fuf73poOW1US Course Playlist: https://www.youtube.com/playlist?list=PLm8ZSArAXicL3jKr_0nHHs5TwfhdkMFhh Course Review: https://www.youtube.com/playlist?list=PLm8ZSArAXicLTRn3cJyyU1TiU7n_Pp4X1 Other Courses: https://www.youtube.com/playlist?list=PLm8ZSArAXicIXArfap9Tcb8izqRPvE0BK Channel Info: https://www.youtube.com/playlist?list=PLm8ZSArAXicLlGO4Rvpz-D6vX8MFbOn4V --- Social Links --- Facebook: https://www.facebook.com/tmpchem Twitter: https://www.twitter.com/tmpchem LinkedIn: https://www.linkedin.com/in/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