Quantum Chemistry 3.2 - Operators

Short lecture on operators in quantum mechanics. An operator does something to an object to create a new object. Examples of operators include differentiation, integration, square root, multiplication, and exponentiation. Linear operators acting on a linear combination of functions produce a result which is equivalent to the operator acting on the individual functions of the sum. Classical properties are represented in quantum mechanics by linear, Hermitian operators. Operators for physical observables include position, momentum, kinetic energy, potential energy, and the Hamiltonian (total energy) operator. Notes Slide: http://i.imgur.com/H5RbK9I.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