2
This course presents the fundamental concepts of quantum mechanics
FREE
This course includes
Hours of videos
1138 years, 9 months
Units & Quizzes
41
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
wave properties, uncertainty principles, the Schrödinger equation, and operator and matrix methods. Key topics include commutation rule definitions of scalar, vector, and spherical tensor operators; the Wigner-Eckart theorem; and 3j (Clebsch-Gordan) coefficients. In addition, we deal with many-body systems, exemplified by many-electron atoms (“electronic structure”), anharmonically coupled harmonic oscillators (“intramolecular vibrational redistribution: IVR”), and periodic solids.
Course Currilcum
-
- Course Outline; Free Particle; Motion Unlimited
- Infinite Box Unlimited
- Probability Density: Motion, Position, Spreading, Gaussian Wavepacket Unlimited
- Stationary Phase and Gaussian Wavepackets Unlimited
- Continuum Normalization Unlimited
- Linear Potential; JWKB Approximation and Quantization Unlimited
- JWKB Quantization Condition Unlimited
- Rydberg-Klein-Rees: from Unlimited
- Numerov-Cooley Method: 1-D Schrödinger Equation Unlimited
-
- Matrix Mechanics Unlimited
- Eigenvalues, Eigenvectors, and Discrete Variable Representation Unlimited
- Matrix Solution of Harmonic Oscillator I Unlimited
- Matrix Solution of Harmonic Oscillator II Unlimited
- Perturbation Theory I Unlimited
- Perturbation Theory II Unlimited
- Perturbation Theory III Unlimited
- Variational Method Unlimited
- Density Matrices I Unlimited
- Density Matrices II Unlimited
- 3-D Central Force Problems I Unlimited
- 3-D Central Force Problems II Unlimited
- Angular Momentum Matrix Elements from Commutation Rules Unlimited
- J-Matrices Unlimited
- Coupled vs. Uncoupled Basis Sets Unlimited
- H{{}} + H{{}} in ⎜JLSM{{}}(rangle) and ⎜LM{{}}M{{}}(rangle) Unlimited
- Wigner-Eckart Theorem Unlimited
- Angular Momentum Eigenvalues Unlimited
- Simplification of hyperfine H{{}} by Wigner-Eckart Theorem Unlimited
- A User’s Guide to Angular Momentum Theory Unlimited
- Hydrogen Radial Wavefunctions Unlimited
- Begin Many-Electron Atoms: Quantum Defect Theory Unlimited
