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Foundations of Quantum Mechanics
  • Level Professional
  • Duration 27 hours
  • Course by University of Colorado Boulder
  • Offered by

About

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.

Modules

Introduction to the Specialization and to Course 1

    • 2 Videos
    • 1 Readings
    • 1 Discussion
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1 Discussions

  • Introduce Yourself

2 Videos

  • Quantum Mechanics for Engineers Specialization Introduction
  • Course Introduction

1 Readings

  • Suggested textbooks

Lectures

    • 4 Videos
    • 1 Readings
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4 Videos

  • Wave-particle Duality
  • Time-independent Schrödinger Equation
  • Properties of Eigensolutions
  • Hilbert Space

1 Readings

  • Module Topics

Discussion

    • 1 Discussion
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1 Discussions

  • Zero-point Energy

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #1

Lectures

    • 4 Videos
    • 1 Readings
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4 Videos

  • Finite Potential Well
  • Harmonic Oscillator
  • Potential Step
  • Potential Barrier

1 Readings

  • Module Topics

Discussion

    • 1 Discussion
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1 Discussions

  • 1D Potential Problems and Optics

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #2

Lectures

    • 5 Videos
    • 1 Readings
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5 Videos

  • Stern-Gerlach Experiment
  • Dirac's Bra and Ket Notation
  • Operators
  • Matrix Representation
  • Measurement

1 Readings

  • Module Topics

Discussion

    • 1 Discussion
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1 Discussions

  • Measurement Problem

Peer Review Assignment

    • 1 PeerReview
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1 Peer Review

  • Matrix Representation

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #3

Lectures

    • 4 Videos
    • 1 Readings
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4 Videos

  • Uncertainty Principle
  • Hamiltonian, Momentum, Position Operators
  • Change of Basis
  • Wavefunctions in Momentum and Position Basis

1 Readings

  • Module Topics

Peer Review Assignment

    • 1 PeerReview
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1 Peer Review

  • Change of Basis

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #4

Lectures

    • 5 Videos
    • 1 Readings
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5 Videos

  • Time-dependent Schrödinger Equation
  • Schrödinger vs Heisenberg Picture
  • Harmonic Oscillator Revisited
  • Time Evolution of Harmonic Oscillator
  • Particle Current

1 Readings

  • Module Topics

Peer Review

    • 1 PeerReview
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1 Peer Review

  • Momentum Conservation

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #5

Lectures

    • 5 Videos
    • 1 Readings
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5 Videos

  • Pure and Mixed States
  • Density Matrix
  • Indistinguishability
  • Exchange Interaction
  • Thermal Distribution

1 Readings

  • Module Topics

Discussion

    • 1 Discussion
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1 Discussions

  • Ferromagnetism

Homework

    • 2 Readings
    • 1 Quiz
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2 Readings

  • Physical Constants
  • Entering Math Expressions

1 Quiz

  • Homework #6

Auto Summary

"Foundations of Quantum Mechanics" is a professional-level course on Coursera, focusing on the fundamental concepts of quantum mechanics, including wave-particle duality, operators, and wavefunctions. Taught as part of CU Boulder’s Master of Science in Electrical Engineering, it covers essential linear algebra and 1D potential problems. With a duration of 1620 minutes, learners can subscribe via Starter or Professional plans. Ideal for those seeking a strong foundation in quantum mechanics, this course prepares students for advanced topics and applications in the field.

Wounjhang Park
Instructor

Wounjhang Park