Course Chapters
Table of Contents
Explore each chapter of quantum mechanics in a structured learning sequence.
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Quantum Mechanics
Schrodinger's equation, hydrogen atom, postulates, spin, bosons, fermions, Pauli exclusion principle, perturbation theory, Rayleigh-Ritz method, Wigner-Weyl transformation, WKB approximation, Klein-Gordon equation, Dirac equation, covariant formulation.
Core Concepts
Key Topics
Essential concepts and areas you should master in quantum mechanics.
Wave-Particle Duality
Schrodinger's Equation
Particle in a Box
Potential Step
Potential Barrier
Central Potentials
Spherical Harmonics
Hydrogen Atom
Wavefunction Collapse
Measurement
Superposition Principle
Operators and Observables
Hilbert Spaces
Bra-ket Notation
Time Evolution Operator
Unitary Evolution
Orbital Angular Momentum
Spin Angular Momentum
Bosons
Fermions
Exchange Symmetry
Pauli Exclusion Principle
Time-independent Perturbation Theory
Variational Principle
Rayleigh-Ritz Method
Time-dependent Perturbation Theory
Wigner Function
Wigner-Weyl Transform
Liouville Equation
Interaction Picture
Fermi's Golden Rule
Transition Probabilities
WKB Approximation
Adiabatic Approximation
Born-Oppenheimer Approximation
Scattering Theory
Klein-Gordon Equation
Dirac Equation
Covariant Formulation
Density Matrix Formalism
Recommended Reading
Recommended Books
Carefully selected books to deepen your understanding of quantum mechanics.
Modern Quantum Mechanics
J. J. Sakurai, Jim Napolitano
Principles of Quantum Mechanics
Ramamurti Shankar
A Modern Approach to Quantum Mechanics
John S. Townsend
Introduction to Quantum Mechanics
David J. Griffiths, Darrell F. Schroeter
Quantum Mechanics, Volume 1: Basic Concepts, Tools, and Applications
Claude Cohen-Tannoudji, Bernard Diu, Franck Laloë
Quantum Mechanics, Volume 2: Angular Momentum, Spin, and Approximation Methods
Claude Cohen-Tannoudji, Bernard Diu, Franck Laloë
Quantum Mechanics, Volume 3: Fermions, Bosons, Photons, Correlations, and Entanglement
Claude Cohen-Tannoudji, Bernard Diu, Franck Laloë
Mathematical Foundations of Quantum Mechanics
John von Neumann
Quantum Mechanics for Mathematicians
L. A. Takhtadzhian
Problems in Quantum Mechanics
C. Cohen-Tannoudji
Practice Problems
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