Quantum Mechanics: Wavefunctions, Operators, and Expectation Values
- 0.0
-
![]()
![]()
![]()
![]()
![]()
Brief Introduction
Learn about wavefunctions and their probabilistic interpretation, the Schrodinger equation, and the properties of quantum observables.Description
In this quantum physics course you will learn the basics of quantum mechanics. We begin with de Broglie waves, the wavefunction, and its probability interpretation. We then introduce the Schrodinger equation, inner products, and Hermitian operators. We also study the time-evolution of wave-packets, Ehrenfest's theorem, and uncertainty relations.
This is the first 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.
Knowledge
- The wavefunction and its probability interpretation.
- The Schrodinger equation.
- Inner products and Hermitian operators.
- Time-evolution of wave-packets.
- Ehrenfest’s theorem and uncertainty relations.
Quantum Mechanics: Quantum physics in 1D Potentials
- 0.0
-
![]()
![]()
![]()
![]()
![]()
Learn how to solve the Schrodinger equation for a particle moving in one-dimensional potentials relevant to physical applications. We study the associated energy eigenstates and bound states....
Quantum Mechanics: Wavefunctions, Operators, and Expectation Values
- 0.0
-
![]()
![]()
![]()
![]()
![]()
Learn about wavefunctions and their probabilistic interpretation, the Schrodinger equation, and the properties of quantum observables. In this quantum physics course you will learn the basics of quantum mechanics....
Quantum Mechanics: 1D Scattering and Central Potentials
- 0.0
-
![]()
![]()
![]()
![]()
![]()
Learn about scattering in one dimensional potentials, angular momentum, central potentials, and the hydrogen atom. We discuss barrier penetration and the Ramsauer-Townsend effect....
Exploring Quantum Physics
- 4.3
-
![]()
![]()
![]()
![]()
![]()
An introduction to quantum physics with emphasis on topics at the frontiers of research, and developing understanding through exercise. Week 1 - Welcome, Lecture 1 and 2 - Conceptual Grounds...
