GMAT Focus | Quantitative| Master Math Course | 2026 Updated
Nadeem Arain
5.0 (853)·55h 15m · 544 lectures
$3.00$12–$199up to −98%
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Relativistic Quantum Mechanics: Spin & Dirac Equation
Mathematical Intuition behind Relativistic Quantum Mechanics
5.010 reviews301 learners
- Expert
- 11h 59m video
- 55 lectures
- English
- Captions
- Updated 2026
Taught by Emanuele Pesaresi
- 11h 59m of on-demand video
- 55 lectures across 9 sections
- One-off payment — no subscription
- Lifetime access on web and mobile
- Closed captions (English)
Curriculum
9 sections55 lectures11h 59m total
- Introduction to Angular Momentum Operators3:58
- Properties of Angular Momentum Operators Part 113:54
- Properties of Angular Momentum Operators part 27:21
- Matrix Representation of Angular Momentum12:53
- Spin 1/2 particles10:38
- Hamiltonian For an Electron in an Electromagnetic Field27:59
- Dirac Equation Derived from Pauli Matrices14:07
- Conserved Quantity from the Dirac Equation12:12
- Non Relativistic Limit of the Dirac Equation part 112:13
- Non Relativistic Limit of the Dirac Equation part 243:03
- Solution of the Dirac Equation for a Free Particle part 19:40
- Solution of the Dirac Equation for a Free Particle part 2 (Particles at Rest)12:30
- Solution of the Dirac Equation for a Free Particle in the General Case36:03
- Problem with the Negative Energy Components16:01
- Interpretation of Negative Energy Solutions13:15
- Hamiltonian + commutator between Hamiltonian and Total Angular Momentum15:53
- Hamiltonian and Spin Component along the Total Angular Momentum24:05
- Commutator between K and J17:07
About this course
This is a course on Relativistic Quantum Mechanics. Why did I create this new course even if there is already a course on Quantum Mechanics and Quantum Field Theory? The answer is simple: the main reason is that I am passionate about these topics, but another reason is the fact that my previous course on QM and QFT already contained roughly 40 hours of content, so it would have been too "chaotic" if I added another 10 hours of content. Besides, this course is developed on its own (even if we do not start from scra…
Before you start
- operators in quantum mechanics
- commutators
- wave functions
- Schrodinger equation
Who it’s for
- physics students
- physics enthusiast
- students who want to understand the mathematics behind relativistic quantum mechanics
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