Quantum Chemistry and Spectroscopy - Quantum Chemistry 3.3 - Eigenvalues and Eigenfunctions

Short lecture on eigenvalues and eigenfunctions. When the result of an operator acting on a function is a constant multiplied by the same function, the function is called an eigenfunction, and the constant is called an eigenvalue. The eigenvalue problem is to determine the set of eigenfunctions and eigenvalues for a given operator. The Schrodinger equation is an eigenvalue problem for the Hamiltonian operator, where the wavefunction is the eigenfunction and the eigenvalue is the total energy of the state. Eigenvalue equations could be solved in quantum mechanics for any operator, including kinetic energy, potential energy, momentum, and position. Notes Slide: http://i.imgur.com/4AWkJJm.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