This course can also be taken for academic credit as ECEA 5611, part of CU Boulder’s Master of Science in Electrical Engineering degree.
Theory of Angular Momentum
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Theory of Angular Momentum
This course is part of Quantum Mechanics for Engineers Specialization
Instructor: Wounjhang Park
5,990 already enrolled
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4.0
(20 reviews)
Intermediate level
Recommended experience
Flexible schedule
Approx. 12 hours
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What you'll 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'll gain
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Assessments
3 assignments
Taught in English
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This course is part of the Quantum Mechanics for Engineers Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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There are 3 modules in this course
In this module we will introduce the course on the theory of angular momentum and then introduce the quantum mechanical definition of orbital momentum. We will then use the spherical harmonics to express the orbital angular momentum eigenstates and use them to describe the hydrogen atom states.
What's included
5 videos4 readings1 assignment2 discussion prompts
In this module, we introduce the general definition of angular momentum operator based on rotation operator. This general definition allows both orbital and spin angular momentum. We then derive the most fundamental property of angular momentum - commutation relations among their Cartesian components. Finally, we discuss the properties of spin-1/2 system.
What's included
4 videos3 readings1 assignment1 discussion prompt
This module covers the general theory of angular momentum. We start with the commutation relation of angular momentum and define angular momentum eigenstates. We then construct matrix representation of rotation operators using the angular momentum eigenstates as the basis set. Finally, we discuss how to quantum mechanically add angular momenta.
What's included
6 videos3 readings1 assignment1 peer review
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Build toward a degree
This course is part of the following degree program(s) offered by University of Colorado Boulder. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.¹
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GV
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Reviewed on Jun 16, 2023
Very nice course. Good textbook (Sakurai). Good teaching.
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