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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: Quantum phenomena
2. Waves and wave equation
Types of Waves
Wave equation
DEMO: Visualizing waves
DEMO: Bonus challenge
3. Schordinger Equation
Schrödinger Equation
Wave function
Particle in a Box
Applications of Particle in a Box Model
P1 Characteristics of Quantum Wavefunctions
P2 Operators
P3-4 Eigenvalues and Expectation
P5 Time dependence
Fourier Transforms and Quantum Mechanics
DEMO: Particle in a box
DEMO: Quantum Waves
DEMO: Bonus challenge
4. Model systems
Molecular degrees of freedom
Classical Harmonic Oscillator
Quantum harmonic oscillator
Molecular Vibrations
Angular momentum
Rigid Rotor
5. Hydrogen Atom
Hydrogenlike atoms
Atomic orbitals
Spin
DEMO: H wavefunctions
Bonus: Atomic Orbitals
6. Approximations
Variational Method
Linear Variational Method
Perturbation Method
Time-Dependent Perturbation Theory and Selection Rules
DEMO: Pertrubation Theory
DEMO: Solving QM problems with Variational method
7. Multielectron atoms
Multi-electron atoms
Angular momentum of many-electron atoms
Hartree-Fock
8. Molecules
BO approximation
The hydrogen molecule ion
Electronic structure of polyatomic molecules
Huckel molecular orbital theory
Dipole moments and ionic bonding
Intermolecular forces
DEMO: Solving
\(H^{+}_2\)
via Variational Method
DEMO: HF calculations on small organic molecules by PySCF
A. Math
Integrals
Differentiation
Complex numbers
Linear Algebra 1: Basics
Operators and Matrices
Application: Hopfield Neural Networks
B. Physics
Postulates
Extra stuff
Equation sheet
Python
Python3
NumPy
Plotting
Sympy
.md
.pdf
B. Physics
B. Physics
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