Quantum Chemistry and Spectroscopy - Quantum Chemistry 5.2 - Classical Harmonic Oscillator 1: Trajectory

Short lecture on the trajectory of the classical harmonic oscillator. The harmonic oscillator is a system where the particle experiences a linear restoring force towards a reference position. This force is equivalent to a quadratic potential energy function centered at the reference position. Classically, solving Newton's laws of motion for the particle leads to a trajectory which is oscillatory over time. The frequency of oscillation depends on the spring constant of the potential and the mass of the particle. The maximum displacement from the reference is the amplitude of the oscillation. Starting with an initial velocity of zero results in a trajectory which is defined by [ Acos(wt) ], where the w is the angular frequency. Notes Slide: http://i.imgur.com/8Fy3WKn.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=PLm8ZSArAXicL4kdvchwcgETYWXlt-HyzH 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