University of Colorado Boulder - Foundations of Quantum Mechanics
- Offered byCoursera
Foundations of Quantum Mechanics at Coursera Overview
Duration | 25 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course  |
Credential | Certificate |
Foundations of Quantum Mechanics at Coursera Highlights
- 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
Foundations of Quantum Mechanics at Coursera Course details
- 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.
Foundations of Quantum Mechanics at Coursera Curriculum
Wave-particle Duality and Schrodinger Equation
Quantum Mechanics for Engineers Specialization Introduction
Course Introduction
Wave-particle Duality
Time-independent Schrodinger Equation
Properties of Eigensolutions
Hilbert Space
Module Topics
Physical Constants
Homework #1
One-dimensional Potential Problems
Finite Potential Well
Harmonic Oscillator
Potential Step
Potential Barrier
Module Topics
Physical Constants
Homework #2
Operators and Measurements 1
Stern-Gerlach Experiment
Dirac's Bra and Ket Notation
Operators
Matrix Representation
Measurement
Module Topics
Physical Constants
Homework #3
Operators and Measurements 2
Uncertainty Principle
Hamiltonian, Momentum, Position Operators
Change of Basis
Wavefunctions in Momentum and Position Basis
Module Topics
Physical Constants
Homework #4
Time Evolution of Quantum States
Time-dependent Schrodinger Equation
Schrodinger vs Heisenberg Picture
Harmonic Oscillator Revisited
Time Evolution of Harmonic Oscillator
Particle Current
Module Topics
Physical Constants
Homework #5
Ensembles and Identical Particles
Pure and Mixed States
Density Matrix
Indistinguishability
Exchange Interaction
Thermal Distribution
Module Topics
Physical Constants
Homework #6
Foundations of Quantum Mechanics at Coursera Admission Process
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