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8.04 Quantum Physics I

8.04 Quantum Physics I (Spring 2013, MIT OCW). Instructors: Prof. Allan Adams, Prof. Matthew Evans and Prof. Barton Zwiebach. 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: Schrodinger's equation, wave functions, wave packets, probability amplitudes, stationary states, the Heisenberg uncertainty principle, and zero-point energies. Solutions to Schrodinger's equation in one dimension: transmission and reflection at a barrier, barrier penetration, potential wells, the simple harmonic oscillator. Schrodinger's equation in three dimensions: central potentials and introduction to hydrogenic systems. (from ocw.mit.edu)

Lecture 07 - More on Energy Eigenstates

In this lecture, Prof. Adams outlines how to use energy eigenfunctions to conveniently solve quantum mechanical problems involving time evolution. He then discusses various properties and features of energy eigenfunctions and their superpositions.


Go to the Course Home or watch other lectures:

Lecture 01 - Introduction to Superposition
Lecture 02 - Experimental Facts of Life
Lecture 03 - The Wave Function
Lecture 04 - Expectations, Momentum, and Uncertainty
Lecture 05 - Operators and the SchrŠ¾dinger Equation
Lecture 06 - Time Evolution and the Schrodinger Equation
Lecture 07 - More on Energy Eigenstates
Lecture 08 - Quantum Harmonic Oscillator Part I
Lecture 09 - Operator Methods for the Harmonic Oscillator
Lecture 10 - Clicker Bonanza and Dirac Notation
Lecture 11 - Dispersion of the Gaussian and the Finite Well
Lecture 12 - The Dirac Well and Scattering off the Finite Step
Lecture 13 - More on Scattering
Lecture 14 - Resonance and the S-Matrix
Lecture 15 - Eigenstates of the Angular Momentum Part 1
Lecture 16 - Eigenstates of the Angular Momentum Part 2
Lecture 17 - More on Central Potentials
Lecture 18 - Hydrogen and its Discontents
Lecture 19 - Identical Particles
Lecture 20 - Periodic Lattices Part 1
Lecture 21 - Periodic Lattices Part 2
Lecture 22 - Metals, Insulators, and Semiconductors
Lecture 23 - More on Spin
Lecture 24 - Entanglement - QComputing, EPR, and Bell's Theorem