Quantum Chemistry and Spectroscopy - Quantum Chemistry 3.1 - Schrodinger Equation "Derivation"

Short lecture "deriving" the Schrodinger equation. The Schrodinger equation is typically taken to be a postulate in quantum mechanics, i.e. something which is assumed rather than proven. Here, using the classical wave equation and the de Broglie hypothesis we show that we can derive the Schrodinger equation. The Schrodinger equation is the negative reduced Planck's constant squared divided by 2 times mass times the second derivative of the wavefunction with respect to x, plus the potential energy function times the wavefunction equals the energy times the Schrodinger equation. Solving the time-independent Schrodinger equation gives us the wavefunction of a quantum system, which contains all information about the physical properties of the system. Notes Slide: http://i.imgur.com/pZgzikZ.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=PLm8ZSArAXicL6ArmHxHxgugNNsSYYD3MW 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