Quantum Chemistry and Spectroscopy - Quantum Chemistry 4.4 - Postulates of Quantum Mechanics 4: Expectation Values

Short lecture on postulate 4 of quantum mechanics. A postulate is a statement that is not proven, but assumed to be true and judged on the validity of its conclusions. Postulate 4 of quantum mechanics states that if a system is described by a wavefunction (psi), then the average value of a physical property A is given by the expectation value formula defined here. If the wavefunction is normalized, the denominator is 1 and only the numerator needs to be computed. If the wavefunction is an eigenfunction of the operator, then the uncertainty of its value is zero. Notes Slide: http://i.imgur.com/PNoA2qf.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=PLm8ZSArAXicLLM5kDbCf6ljLKZghgkLh4 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