Quantum Chemistry and Spectroscopy - Quantum Chemistry 6.2 - Rotation Operators

Short lecture on rotation operators in quantum mechanics. The rigid rotor is a quantum mechanical model system for the rotation of diatomic molecules. It is natural to express this system in terms of spherical polar coordinates (r, theta, and phi). To do this we need an expression for the Laplacian operator (del squared) in spherical coordinates. We also need operators for total angular momentum squared, and the z component of angular momentum. Once completed, the rigid rotor Hamiltonian operator and Schrodinger equation are both easily expressed in terms of the total angular momentum squared operator. Notes Slide: http://i.imgur.com/3Qkiey5.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=PLm8ZSArAXicIlRL7FdtY3GjmKju4ORHIs 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