Standard syllabus
Quantum mechanics I · Undergraduate · Physics
Learning objectives from the Quantum mechanics I syllabus, grouped by unit. Click an objective for study materials.
Learning objectives
Click an objective for study materials.
Foundations and one dimension
- Wave–particle duality and the Schrödinger equation — Wave–particle duality and the Schrödinger equation
- Probability density and normalization — Probability density and normalization
- Infinite square well and finite barriers — Infinite square well and finite barriers
- Tunneling and transmission coefficients — Tunneling and transmission coefficients
- Harmonic oscillator (algebraic and series methods) — Harmonic oscillator (algebraic and series methods)
Formalism and three dimensions
- Hilbert space, bras and kets, and operators — Hilbert space, bras and kets, and operators
- Commutators and uncertainty principle — Commutators and uncertainty principle
- Separation of variables in 3D — Separation of variables in 3D
- Hydrogen atom: quantum numbers and spectra — Hydrogen atom: quantum numbers and spectra
- Spin-½ and Stern–Gerlach experiment — Spin-½ and Stern–Gerlach experiment
Approximation methods
- Time-independent perturbation theory — Time-independent perturbation theory
- Degenerate perturbation and fine structure (intro) — Degenerate perturbation and fine structure (intro)
- Variational principle for ground states — Variational principle for ground states
- WKB approximation (overview) — WKB approximation (overview)
- Identical particles and Pauli exclusion preview — Identical particles and Pauli exclusion preview
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Foundations and one dimension
Schrödinger equation and 1D quantum systems
Coming soon - Formalism and three dimensions
Hilbert space, hydrogen atom, and spin
Coming soon - Approximation methods
Perturbation theory, variational methods, and identical particles
Coming soon
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$1,162 · Quantum mechanics I · 18 tutoring hrs
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