Mind Network - Samuel Solomon
Differential Equations
Listed below are the differential equations topics:
Program to be added
Home
Quantum Mechanics I
Introduction to Waves (The Wave Equation)
Introduction to Waves (The Wave Function)
Motivation for Quantum Mechanics (Photoelectric effect)
Motivation for Quantum Mechanics (Compton Scattering)
Motivation for Quantum Mechanics (Black Body Radiation)
Bohr Model of the Atom
Wave-Particle Duality (The Wave Function Motivation)
Problems with the Wave Function
Introduction to Quantum Operators (The Formalism)
Introduction to Dirac Notation
Introduction to Quantum Operators (The Hermitian and the Adjoint)
Introduction to Commutation
Expectation Values of Operators
Quantum Uncertainty (Defining Uncertainty)
Quantum Uncertainty (Heisenberg's Uncertainty Principle)
The Schrödinger Equation (The "Derivation")
The Schrödinger Equation (How to use it)
No Degeneracy in 1-Dimension
Parity Operator
Quantum Mechanics' Core Postulates
Free Particle (In a Vacuum)
Particle in a Box (Infinite Square Well)
Bound States (The Mathematical Setup)
Bound States (The Shooting Method)
Bound States (Patching Solutions Together)
Patching Solutions (Finite, Infinite, and Delta Function Potentials)
Delta Function Potential Well
Scatter States (A Touch on Dispersion)
Scatter States (Reflection, Transmission, Probability Current)
Scatter States (Worked Example)
Scatter States (Elastic Collision)
Quantum Tunneling (Constant Potential)
Quantum Tunneling (Changing Potential)
Quantum Tunneling (Alpha Decay Example)
Quantum Harmonic Oscillator (Classical Mechanics Analogue)
Quantum Harmonic Oscillator (Brute Force Solution)
Quantum Harmonic Oscillator (Ladder Operators)
Quantum Harmonic Oscillator (Expectation Values)
Bringing Quantum to 3D (Cartesian Coordinates)
Free Particle
Infinite Cubic Well (3D Particle in a Box)
Quantum Harmonic Oscillator
Schrödinger Equation (Spherical Coordinates)
Angular Momentum (Experiments)
Angular Momentum (Operators)
Angular Momentum (Ladder Operators)
Schrödinger Equation (Spherical Symmetric Potential)
Infinite Spherical Well (Radial Solution)
One Electron Atom (Radial Solution for S-orbital)
Hydrogen Atom (Angular Solution; Spherically Symmetric)
Hydrogen Atom (Radial Solution; Any Orbital)
Hydrogen atom (Recap)
Quantum Mechanics II
Nuclear Fusion
Introduction to Fission (Energy Extraction)
Introduction to Fusion (Applications and Challenges)
Choosing Fusion Reactants
Special Relativity
Terminology and Notation
Galilean Transformation
Statistical Thermodynamics
Chemical Thermodynamics
Ionization Radiation
Multivariable Calculus
Vectors
Dot Product
Cross Product
Rotating Vectors
Level Curves
Gradients
Directional Derivatives
Differential Equations
Contact
Home
Quantum Mechanics I
Introduction to Waves (The Wave Equation)
Introduction to Waves (The Wave Function)
Motivation for Quantum Mechanics (Photoelectric effect)
Motivation for Quantum Mechanics (Compton Scattering)
Motivation for Quantum Mechanics (Black Body Radiation)
Bohr Model of the Atom
Wave-Particle Duality (The Wave Function Motivation)
Problems with the Wave Function
Introduction to Quantum Operators (The Formalism)
Introduction to Dirac Notation
Introduction to Quantum Operators (The Hermitian and the Adjoint)
Introduction to Commutation
Expectation Values of Operators
Quantum Uncertainty (Defining Uncertainty)
Quantum Uncertainty (Heisenberg's Uncertainty Principle)
The Schrödinger Equation (The "Derivation")
The Schrödinger Equation (How to use it)
No Degeneracy in 1-Dimension
Parity Operator
Quantum Mechanics' Core Postulates
Free Particle (In a Vacuum)
Particle in a Box (Infinite Square Well)
Bound States (The Mathematical Setup)
Bound States (The Shooting Method)
Bound States (Patching Solutions Together)
Patching Solutions (Finite, Infinite, and Delta Function Potentials)
Delta Function Potential Well
Scatter States (A Touch on Dispersion)
Scatter States (Reflection, Transmission, Probability Current)
Scatter States (Worked Example)
Scatter States (Elastic Collision)
Quantum Tunneling (Constant Potential)
Quantum Tunneling (Changing Potential)
Quantum Tunneling (Alpha Decay Example)
Quantum Harmonic Oscillator (Classical Mechanics Analogue)
Quantum Harmonic Oscillator (Brute Force Solution)
Quantum Harmonic Oscillator (Ladder Operators)
Quantum Harmonic Oscillator (Expectation Values)
Bringing Quantum to 3D (Cartesian Coordinates)
Free Particle
Infinite Cubic Well (3D Particle in a Box)
Quantum Harmonic Oscillator
Schrödinger Equation (Spherical Coordinates)
Angular Momentum (Experiments)
Angular Momentum (Operators)
Angular Momentum (Ladder Operators)
Schrödinger Equation (Spherical Symmetric Potential)
Infinite Spherical Well (Radial Solution)
One Electron Atom (Radial Solution for S-orbital)
Hydrogen Atom (Angular Solution; Spherically Symmetric)
Hydrogen Atom (Radial Solution; Any Orbital)
Hydrogen atom (Recap)
Quantum Mechanics II
Nuclear Fusion
Introduction to Fission (Energy Extraction)
Introduction to Fusion (Applications and Challenges)
Choosing Fusion Reactants
Special Relativity
Terminology and Notation
Galilean Transformation
Statistical Thermodynamics
Chemical Thermodynamics
Ionization Radiation
Multivariable Calculus
Vectors
Dot Product
Cross Product
Rotating Vectors
Level Curves
Gradients
Directional Derivatives
Differential Equations
Contact
