Quantum Chemistry and Spectroscopy - Quantum Chemistry 3.11 - 3-D Particle in a Box

Short lecture on the three-dimensional particle in a box. The three dimensional particle in a box has a Hamiltonian which can be factored into an independent function of the x, y, and z directions. Thus, we can use separation of variables to express the wave function as a product of three one-dimensional wavefunctions, and solve three individual Schrodinger equations for each dimension. The energy is then a sum of the energy in each dimension. Each dimension has its own quantum number (nx, ny, and nz) all of which can take on any integer value from one to infinity. Notes Slide: http://i.imgur.com/dabtQFr.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