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This course presents the fundamental concepts of quantum mechanics
0
2
English
English [CC]
FREE
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Description
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 content
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- 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
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- 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
Instructor
Massachusetts Institute of Technology
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1
1916
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