Essential quantum mechanics tailored for engineer . Establish a firm foundation for advanced electrical, mechanical and quantum engineering

Wounjhang Park

Offered By

Part of the Master of Science in Electrical Engineering degree

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Quantum Mechanics for Engineers SpecializationUniversity of Colorado Boulder

What you will learn

Understand fundamental concepts of quantum mechanics
Achieve mastery of required mathematical apparatus
Mathematically describe behaviors of quantum systems and compute important quantities
Understand the quantum mechanical meaning of wave-particle duality

Skills you will gain

Differential Equations
Calculus
Linear Algebra
Quantum Measurement
angular momentum
Quantum Mechanics
hydrogen atom
Energy
Energy Level
Perturbation Theory

About this Specialization

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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.

Applied Learning Project

You will complete homework quizzes throughout the courses that allow you to practice and test your knowledge. In addition, each course contains at least one peer review assignment that requires you to dive deeper into the material. There are no project-based assignments in this specialization.

Shareable Certificate

Earn a Certificate upon completion

100% online courses

Start instantly and learn at your own schedule.

Flexible Schedule

Set and maintain flexible deadlines.

Intermediate Level

Undergraduate-level calculus, differential equations and linear algebra

Approximately 3 months to complete

Suggested pace of 4 hours/week

English

Subtitles: English

Shareable Certificate

Earn a Certificate upon completion

100% online courses

Start instantly and learn at your own schedule.

Flexible Schedule

Set and maintain flexible deadlines.

Intermediate Level

Undergraduate-level calculus, differential equations and linear algebra

Approximately 3 months to complete

Suggested pace of 4 hours/week

English

Subtitles: English

How the Specialization Works

Take Courses

A Coursera Specialization is a series of courses that helps you master a skill. To begin, enroll in the Specialization directly, or review its courses and choose the one you'd like to start with. When you subscribe to a course that is part of a Specialization, you’re automatically subscribed to the full Specialization. It’s okay to complete just one course — you can pause your learning or end your subscription at any time. Visit your learner dashboard to track your course enrollments and your progress.

Hands-on Project

Every Specialization includes a hands-on project. You'll need to successfully finish the project(s) to complete the Specialization and earn your certificate. If the Specialization includes a separate course for the hands-on project, you'll need to finish each of the other courses before you can start it.

Earn a Certificate

When you finish every course and complete the hands-on project, you'll earn a Certificate that you can share with prospective employers and your professional network.

There are 3 Courses in this Specialization

Course1

Course 1

Foundations of Quantum Mechanics

This course can also be taken for academic credit as ECEA 5610, part of CU Boulder’s Master of Science in Electrical Engineering degree.

This course covers the fundamental concepts and topics of quantum mechanics which include basic concepts, 1D potential problems, time evolution of quantum states, and essential linear algebra. It provides undergraduate level foundational knowledge and build on them more advanced topics. At the end of this course learners will be able to: 1. demonstrate full grasp of basic concepts in quantum mechanics including wave-particle duality, operators and wavefunctions, and evolution of quantum states, 2. achieve mastery of the mathematical apparatus needed for quantum mechanics and 3. attain foundational knowledge required to learn more advanced quantum mechanics and applications.

Course2

Course 2

Theory of Angular Momentum

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.

Course3

Course 3

Approximation Methods

This course can also be taken for academic credit as ECEA 5612, part of CU Boulder’s Master of Science in Electrical Engineering degree.

This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational method and the use of finite basis set. In each case, a specific example is given to clearly show how the method works. At the end of this course learners will be able to: 1. use time-dependent perturbation theory to obtain first- and second -order corrections to energies and wavefunctions, 2. use time-dependent perturbation theory and obtain transition rates, and 3. use tight binding method, variational method and finite basis set to obtain approximate solutions of various quantum mechanics problems.

Instructor

Wounjhang Park

Professor

Electrical, Computer, and Energy Engineering

31,783 Learners

6 Courses

Offered by

University of Colorado Boulder

CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.

Start working towards your Master's degree

This specialization is part of the 100% online Master of Science in Electrical Engineering from University of Colorado Boulder. If you are admitted to the full program, your courses count towards your degree learning.

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Frequently Asked Questions

What is the refund policy?
If you subscribed, you get a 7-day free trial during which you can cancel at no penalty. After that, we don’t give refunds, but you can cancel your subscription at any time. See our full refund policy.
Can I just enroll in a single course?
Yes! To get started, click the course card that interests you and enroll. You can enroll and complete the course to earn a shareable certificate, or you can audit it to view the course materials for free. When you subscribe to a course that is part of a Specialization, you’re automatically subscribed to the full Specialization. Visit your learner dashboard to track your progress.
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.
Can I take the course for free?
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. If you only want to read and view the course content, you can audit the course for free. If you cannot afford the fee, you can apply for financial aid.
Is this course really 100% online? Do I need to attend any classes in person?
This course is completely online, so there’s no need to show up to a classroom in person. You can access your lectures, readings and assignments anytime and anywhere via the web or your mobile device.
How long does it take to complete the Specialization?
It will take approximately 12 weeks to complete the entire Specialization.
What background knowledge is necessary?
Undergraduate-level calculus, differential equations and linear algebra
Do I need to take the courses in a specific order?
Yes, it is recommended to take Course 1 first. Courses 2 and 3 can be taken in any desired order.
Will I earn university credit for completing the Specialization?
No.
What will I be able to do upon completing the Specialization?
You will have a firm foundation to learn advanced topics and further your career in electrical, mechanical and quantum engineering.

More questions? Visit the Learner Help Center.