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Overview
Chapters
1. Intro to Quantum Mechanics
Why Quantum mechanics
The need for quantization
Photoelectric effect
Atomic spectra
Wave-particle duality
DEMO: Black Body radiation
DEMO: Visualizing complex numbers
2. Waves and wave equation
Waves
Wave equation
DEMO: Visualizing waves
DEMO: Bonus challenge
3. Schordinger Equation
Schrödinger Equation
Wave function
Particle in a 3D box
Postulates
Operators
Eigenvalues
Time dependence
DEMO: Particle in a box
DEMO: Postulates
DEMO: Quantum Waves
DEMO: Bonus challenge
4. Model systems
Molecular degrees of freedom
Harmonic Oscillator
Molecular Vibrations
Angular momentum
Rigid Rotor
DEMO: Harmonic Oscillator
5. Hydrogen Atom
Hydrogenlike atoms
Atomic orbitals
Spin
DEMO: H wavefunctions
Bonus: Atomic Orbitals
6. Approximations
Perturbation Method
Variational Method
Linear Variational Method
DEMO: Solving QM problems with Variational method
7. Multielectron atoms
Helium atom
Multi-electron atoms
Angular momentum of many-electron atoms
Atomic terms and selection rules
8. Molecules
BO approximation
The hydrogen molecule ion
Energy of the hydrogen molecule ion
Molecular orbital description of hydrogen molecule
Orbitals of homonuclear diatomic molecules
Electronic structure of polyatomic molecules: the valece bond method
Huckel molecular orbital theory
Dipole moments and ionic bonding
Intermolecular forces
DEMO: Solving
\(H^{+}_2\)
via Variational Method
Scratchpad
Units
Equation sheet
Extra stuff
Math
Integrals
Differentiation
Complex numbers
Python
Python3
NumPy
Plotting
Animations
Sympy
.md
.pdf
8. Molecules
8. Molecules
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