Quantum Chemistry and Spectroscopy - Quantum Chemistry 3.12 - Degeneracy

Short lecture on energetic degeneracy. Quantum states which have the same energy are degnerate. If there are N degenerate states, the energy level is said to be N-fold degenerate. Degeneracy often arises due to symmetry in a multidimensional system. 3-fold and 6-fold degenerate states are observed in the three dimensional particle in a box when the lengths of the box in each dimension are the same (i.e. a cube). The likelihood of degeneracy increases as the quantum numbers nx, ny, and nz increase. Notes Slide: http://i.imgur.com/NxiZo5P.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