Operator Methods for the Harmonic Oscillator 
Operator Methods for the Harmonic Oscillator
by MIT / Allan Adams
Video Lecture 9 of 25
Copyright Information: Allan Adams, Matthew Evans, and Barton Zwiebach. 8.04 Quantum Physics I, Spring 2013. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 21 Jan, 2015). License: Creative Commons BY-NC-SA
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Date Added: January 20, 2015

Lecture Description

In this lecture, Prof. Adams discusses an alternative method to solving the harmonic oscillator problem using operators.

Course Index

Course Description

This course covers the experimental basis of quantum physics. Topics include: photoelectric effect, Compton scattering, photons, Franck-Hertz experiment, the Bohr atom, electron diffraction, de Broglie waves, and the wave-particle duality of matter and light. Introduction to wave mechanics: Schrödinger's equation, wave functions, wave packets, probability amplitudes, stationary states, the Heisenberg uncertainty principle, and zero-point energies. Solutions to Schrödinger's equation in one dimension: transmission and reflection at a barrier, barrier penetration, potential wells, the simple harmonic oscillator. Schrödinger's equation in three dimensions: central potentials and introduction to hydrogenic systems. The course is taught by three professors: Prof. Allan Adams, Prof. Matthew Evans, and Prof. Barton Zwiebach. It is the first course in the undergraduate Quantum Physics sequence, followed by 8.05 Quantum Physics II and 8.06 Quantum Physics III.


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