This course is part of the Quantum Mechanics for Engineers Specialization

Wounjhang Park

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Part of the Master of Science in Electrical Engineering degree

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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 xxxx, 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.

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 1 of 3 in the

Quantum Mechanics for Engineers Specialization

Intermediate Level

Undergraduate-level calculus, differential equations and linear algebra

Approx. 26 hours to complete

English

Subtitles: English

What you will learn

Understand the quantum mechanical meaning of wave-particle duality

Calculate probabilities and expectation values for physical observables

Use both Schrödinger and Heisenberg picture to solve for time evolution of quantum states

Describe fermions and bosons using multiparticle basis functions.

Skills you will gain

Differential EquationsQuantum MeasurementLinear Algebra

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 1 of 3 in the

Quantum Mechanics for Engineers Specialization

Intermediate Level

Undergraduate-level calculus, differential equations and linear algebra

Approx. 26 hours to complete

English

Subtitles: English

Instructor

Wounjhang Park

Professor

Electrical, Computer, and Energy Engineering

27,265 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 course 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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Syllabus - What you will learn from this course

Week

Week 1

3 hours to complete

Wave-particle Duality and Schrödinger Equation

In this module we will introduce the course and the Quantum Mechanics for Engineers specialization. In addition, we will discuss wave-particle duality, time-independent Schrödinger equation. one-dimensional infinite potential well problem, properties of eigensolutions and Hilbert space.

3 hours to complete

6 videos (Total 63 min), 3 readings, 1 quiz

Week

Week 2

3 hours to complete

One-dimensional Potential Problems

In this module, we will solve several one-dimensional potential problems. They include finite potential well, harmonic oscillator, potential step and potential barrier. We will discuss the physical meaning of the solutions and highlight any non-classical behaviors these problems exhibit.

3 hours to complete

4 videos (Total 57 min), 3 readings, 1 quiz

Week

Week 3

5 hours to complete

Operators and Measurements 1

This module covers the theory of measurements in quantum mechanics. We start our discussion by introducing Stern-Gerlach experiment and the difficulty in interpreting the results classically. We then develop mathematical tools required to properly describe the results and then apply them to the interpretation of Stern-Gerlach experiments.

5 hours to complete

5 videos (Total 70 min), 3 readings, 2 quizzes

Week

Week 4

5 hours to complete

Operators and Measurements 2

In this module we expand upon the discussion from the previous module and introduces Hamiltonian, position and momentum operators and the uncertainty principle that governs the relationship between the operators. We also discuss the general principle of change of basis and the specific example of position and momentum representations.

5 hours to complete

4 videos (Total 50 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, Coursera provides financial aid to learners who cannot afford the fee. Apply for it by clicking on the Financial Aid link beneath the "Enroll" button on the left. You'll be prompted to complete an application and will be notified if you are approved. You'll need to complete this step for each course in the Specialization, including the Capstone Project. Learn more.

More questions? Visit the Learner Help Center.

Foundations of Quantum Mechanics