Basics of quantum scattering in one dimension.
Barrier penetration and the Ramsauer-Townsend effect.
Phase-shifts, time delay, Levinson’s theorem, and resonances.
Angular momentum in Quantum Mechanics.
Three-dimensional central potentials.
Solution of the hydrogen atom.
In this quantum physics course you will learn the basic concepts of scattering – phase-shifts, time delays, Levinson’s theorem, and resonances – in the simple context of one-dimensional problems. We discuss barrier penetration and the Ramsauer-Townsend effect. We then turn to the study of angular momentum and the motion of particles in three-dimensional central potentials. We learn about the radial equation and study the case of the hydrogen atom in detail.
This is the final course in a series which includes:
Quantum Mechanics: Wavefunctions, Operators, and Expectation Values
Quantum Mechanics: Quantum Physics in 1D Potentials
Quantum Mechanics: 1D Scattering and Central Potentials
The series is based on MIT 8.04: Quantum Mechanics I. At MIT, 8.04 is the first of a three-course sequence in Quantum Mechanics, a cornerstone in the education of physics majors that prepares them for advanced and specialized studies in any field related to quantum physics. This online course follows the on-campus version and will be equally rigorous.
After completing the 8.04x series, you will be ready to tackle the Mastering Quantum Mechanics course series on edX, 8.05x.
Mathematics: Calculus and differential equations. Physics: introductory physics at the college level: mechanics, electromagnetism and waves.