Quantum Chemistry and Spectroscopy - Quantum Chemistry 4.16 - Wavefunction Collapse

Short lecture on wavefunction collapse. The superposition principle states that a general wavefunction can be expressed as a linear combination of the eigenfunctions of the Hamiltonian operator. Upon measurement of a property, we can only measure eigenvalues of the operator for that property. The probabilities of measurement are determined by the coefficients of each eigenfunction. After measurement, the wavefunction "collapses" into the eigenfunction whose eigenvalue was measured for the property. Any further measurement will yield the same eigenvalue and eigenfunction which was measured initially, as the superposition has been destroyed. This is referred to as the Copenhagen interpretation of quantum mechanics. Notes Slide: http://i.imgur.com/K1DILYd.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