In this lecture, Prof. Adams discusses energy degeneracy in 3D systems and its connection to rotational symmetry. The latter part of the lecture focuses on the angular momentum operators and their commutation relations.
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.