量子力学的应用

Applications of Quantum Mechanics

This course focuses on essential techniques needed for practical applications and research in Quantum Mechanics. We introduce a variety of approximation methods to understand systems that have no analytic solutions.

1386 次查看
麻省理工学院
edX
  • 完成时间大约为 19
  • 高级
  • 英语
注:因开课平台的各种因素变化,以上开课日期仅供参考

你将学到什么

Model complicated systems using quantum mechanics

Construct various approximation schemes in quantum mechanics

Develop your understanding of the time dependent processes in quantum mechanics

Explain a quantum phenomenon in a written paper

课程概况

In this quantum physics course, you will learn about the primary perturbative methods in quantum mechanics: degenerate and non-degenerate time-independent perturbation theory, the semi-classical WKB approximation, time-dependent perturbation theory, the adiabatic approximation, and scattering theory. Together, these approximation methods represent a valuable set of tools that are broadly applicable across almost all of physics. We will use these methods to study a variety of systems that do not admit analytic solutions, including the fine structure of hydrogen, tunneling rates, radiative decay and molecules. We will also investigate the quantum mechanical description of a particle in a magnetic field, and discuss the symmetries associated with multi-particle systems in detail.

This is the final course of a series of courses on edX:

8.04x Quantum Mechanics
8.05x Mastering Quantum Mechanics
8.06x Applications of Quantum Mechanics

The course is based on the MIT course, 8.06: Quantum Mechanics III. At MIT, 8.06 is the final course in a three-course undergraduate sequence in Quantum Mechanics. 8.06 is a capstone in the education of physics majors, preparing them for advanced and specialized study in any field related to quantum physics.

Image source: Gerd Altmann

课程大纲

Time-independent non-degenerate and degenerate perturbation theory
The fine structure of the Hydrogen atom
The semi-classical WKB approximation
Time-dependent perturbation theory
Atoms and light
Charged particles in magnetic fields
The adiabatic approximation
Scattering
Identical particles

预备知识

Learners should be familiar with quantum mechanics at the level of 8.05x

常见问题

I’ve taken 8.04x. Will I be able to do this course?

We recommend taking 8.05x the next time it runs, and then joining us for 8.06x afterwards. It would be difficult to successfully pass this course without all of the prerequisite knowledge.

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