This course is part of the Quantum Mechanics for Engineers Specialization

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You can earn credits from the University of Colorado Boulder that count towards a Master of Science in Electrical Engineering

Quantum Mechanics for Engineers SpecializationUniversity of Colorado Boulder

About this Course

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This course can also be taken for academic credit as ECEA 5611, part of CU Boulder’s Master of Science in Electrical Engineering degree.
This course introduces the quantum mechanical concept of angular momentum operator and its relationship with rotation operator. It then presents the angular momentum operators, their eigenvalues and eigenfunctions. Finally, it covers the theory of angular momentum addition. 

At the end of this course learners will be able to:
1. describe and analyze angular momentum states using quantum mechanically defined angular momentum operators,
2. solve angular momentum eigenvalue equations and
3. add angular momenta quantum mechanically.

Flexible deadlines

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Shareable Certificate

Earn a Certificate upon completion

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Course 2 of 3 in the

Quantum Mechanics for Engineers Specialization

Intermediate Level

Undergraduate-level calculus, differential equations and linear algebra

Approx. 13 hours to complete

English

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What you will learn

Specify the quantum states of the electron in a hydrogen atom.
Describe spin states quantum mechanically.
Solve eigenvalue equations of angular momentum operators.
Add general angular momenta.

Skills you will gain

angular momentum
Quantum Mechanics
hydrogen atom

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 2 of 3 in the

Quantum Mechanics for Engineers Specialization

Intermediate Level

Undergraduate-level calculus, differential equations and linear algebra

Approx. 13 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Wounjhang Park

Professor

Electrical, Computer, and Energy Engineering

35,878 Learners

6 Courses

Offered by

University of Colorado Boulder

Start working towards your degree

This Course is part of an online degree program offered by the University of Colorado Boulder. When you enroll in a for-credit non-degree course through the university and complete it online, it counts as credit hours towards a degree at CU-Boulder. All you have to do is apply through the university.

Master of Science in Electrical Engineering

University of Colorado Boulder

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Syllabus - What you will learn from this course

Week

Week 1

4 hours to complete

Orbital Angular Momentum and Hydrogen Atom

4 hours to complete

5 videos (Total 56 min), 4 readings, 1 quiz

Week

Week 2

3 hours to complete

Rotation and Angular Momentum

3 hours to complete

4 videos (Total 58 min), 3 readings, 1 quiz

Week

Week 3

5 hours to complete

General Theory of Angular Momentum

5 hours to complete

6 videos (Total 112 min), 3 readings, 2 quizzes

About the Quantum Mechanics for Engineers Specialization

This Specialization is intended for engineers seeking to acquire fundamental understanding of quantum mechanics which are the basis of modern electrical, mechanical and quantum engineering. Through 3 courses, you will learn (1) basic concepts such as superposition and entanglement of quantum states, measurement in quantum mechanics and uncertainty principle, (2) mathematical tools needed to describe and manipulate quantum states, (3) advanced theory of angular momentum and (4) approximation methods widely applicable in many fields.

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

More questions? Visit the Learner Help Center.

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Theory of Angular Momentum

About this Course

What you will learn

Skills you will gain