edX: Mastering Quantum Mechanics Part 3: Entanglement and Angular Momentum

 with  Barton Zwiebach and Saif Rayyan

This physics course introduces the concept of tensor product states to discuss entanglement and Bell inequalities. You will learn about angular momentum and its representations. This is used to understand the spectrum of central potentials and to introduce hidden symmetries. Lastly, you will learn about the addition of angular momentum and an algebraic approach to the hydrogen atom spectrum.

This is the last of three courses offering a sophisticated view of quantum mechanics and its proper mathematical foundation.

To follow this course you should have taken Part 1: Wave Mechanics, and Part 2: Quantum Dynamics.

Completing the 3-part Quantum Mechanics series will give you the necessary foundation to pursue advanced study or research at the graduate level in areas related to quantum mechanics

The series will follow MIT’s on campus 8.05, the second semester of the three-course sequence on undergraduate quantum mechanics, and will be equally rigorous. 8.05 is a signature course in MIT's physics program and a keystone in the education of physics majors. 

Learner Testimonials

I’ve thought long and hard to come up with a better MOOC than this one (I’ve completed 25 of these things over the past 2 years) and can’t do it. 8.05x is #1 and I suspect will stay that way for some time to come.

 “Being an engineering student from India trying to shift to Physics, I am often faced with the requirement to study topics on my own. Very often this has led me to feel inadequate. 8.05x was the perfect opportunity for me to both gain knowledge and evaluate my understanding on a high quality international platform. It has really exceeded my expectations. Now, at the end of fifteen weeks, I feel more confident and hopefully I am more knowledgeable.


Who can register for this course?

Unfortunately, learners from Iran, Cuba, Sudan and the Crimea region of Ukraine will not be able to register for this course at the present time. While edX has received a license from the U.S. Office of Foreign Assets Control (OFAC) to offer courses to learners from Iran and Sudan our license does not cover this course.

Separately, EdX has applied for a license to offer courses to learners in the Crimea region of Ukraine, but we are awaiting a determination from OFAC on that application. We are deeply sorry the U.S. government has determined that we have to block these learners, and we are working diligently to rectify this situation as soon as possible.


Week 1:

  • Multiparticle states and tensor products
  • Entanglement and quantum teleportation

Week 2:

  • The Einstein, Podolsky, Rosen paradox and Bell inequalities 
  • Representations of angular momentum

Week 3:

  • Angular momentum and central potentials

Week 4:

  • Hidden symmetries and degeneracies
  • Addition of angular momentum

Week 5:

  • Algebraic solution of the hydrogen atom

Final Assessment

1 Student
Cost Free Online Course
Pace Self Paced
Provider edX
Language English
Hours 12 hours a week
Calendar 5 weeks long

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1 review for edX's Mastering Quantum Mechanics Part 3: Entanglement and Angular Momentum

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2 years ago
Mauro Lacy completed this course, spending 18 hours a week on it and found the course difficulty to be hard.
Third part of MITx 8.05x series of lectures on Quantum Mechanics, in which entanglement and angular momentum are thoroughly explained and exemplified. Multi-particle systems and tensor products, Bell's inequality, addition of angular momentum, spin-orbit coupling, the full spectrum of the Hydrogen atom, and much more.
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