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:
- demonstrate full grasp of basic concepts in quantum mechanics including wave-particle duality, operators and wavefunctions, and evolution of quantum states,
- achieve mastery of the mathematical apparatus needed for quantum mechanics and
- attain foundational knowledge required to learn more advanced quantum mechanics and applications.
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.
Syllabus
Syllabus - What you will learn from this course
Week 1
Wave-particle Duality and Schrödinger Equation
Week 2
One-dimensional Potential Problems
Week 3
Operators and Measurements 1
Week 4
Operators and Measurements 2
Week 5
Time Evolution of Quantum States
Week 6
Ensembles and Identical Particles
FAQ
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.
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