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Explore my website's sections below:

• Home

  • Insights

    • Mathematics

      • Some Useful Integrals
      • Cylindrical Coordinate System
      • Spherical Coordinate System
      • Bloch Theorem
    • Physics

      • Classical Mechanics

        • Single Particle in Two Dimensions
        • Single Pendulum
        • Double Pendulum
        • Single Pendulum Feedback Control
        • Single Pendulum on a Cart Feedback Control
      • Quantum Mechanics

        • Uncertainty Principle and Bell's Theorem
        • Bell Theorem - Mathematics
        • Particle in a Box
        • Particle in a Box With Electric Field
        • Particle and Barrier
        • Finite Potential Well
        • Quantum Harmonic Oscillator
        • Time Dependent Schrödinger Equation
        • Particle in a Box - Time Evolution
        • Quantum Harmonic Oscillator - Time Evolution
        • Wavepackets
        • Angular Momentum
        • Spherical Harmonics Visualization
        • The Hydrogen Atom
        • The Hydrogen Atom - Orbitals Visualization
        • Infinite Spherical Potential Well
        • Approximation Methods

          • Finite Matrices
          • Perturbation Theory
          • Tight Binding Model
          • Variational Method
          • Tunneling Probabilities
          • Transfer Matrix Method
          • Penetration Factor for Slowly Varying Barriers
        • Crystalline Materials

          • Crystals
          • Band Structures
          • Effective Mass Theory
          • Optical Semiconductors Absorption
        • Spin Simulation
        • Ladder Operators
        • Second Quantization

      • Classical Field Theory
      • Quantum Electrodynamics (QED)

        • Electromagnetic Field Quantization
        • Quantization Light One Mode
        • One Photon State Single Mode
        • Coherent State
        • Single Mode Laser
        • Two Lasers Beat Note
        • Freely Propagating Beam
        • One Photon Interference
        • One Photon Polarization
        • Multimode Radiation
        • Multimode Quasi-Classical Radiation
        • Spontaneous Emission Photon
        • One Photon Multimode Interference
        • Balanced Homodyne Detection
        • Quadrature Components
        • Squeezed States of Light
        • Measuring Squeezed States of Light
        • Pairs of Entangled Photons
        • Approximation Methods

          • Photon Absorption and Emission
      • Quantum Information

        • No-Cloning Theorem
        • Bell States
        • Quantum Teleportation
        • Cryptography: Quantum Key Distribution (QKD)

          • BB84 Protocol
          • Ekert Protocol
      • Elementary Particles

        • Positronium
      • Special Relativity

        • Twin Paradox
      • General Relativity
      • Astrophysics

        • Solar System Simulation
        • Yukawa Potential
      • Units and Constants
    • Engineering

      • Mechanical Engineering

        • Statics

          • Forces and Particles Equilibrium
          • Structural Mechanics
        • Dynamics

          • Particles Kinematics
          • Particles Kinetics
          • Particles Work Energy Principle
          • Particles Impulse Momentum Relationship
          • Planar Rigid Body Kinematics
          • Planar Rigid Body Kinetics
          • Planar Rigid Body Work Energy Principle
          • Planar Rigid Body Impulse Momentum Relationship
          • 3D Rigid Body Kinematics
          • 3D Euler Angles
          • 3D Rigid Body Kinetics
          • 3d Rigid Body Work Energy Principle
          • 3d Rigid Body Impulse Momentum Relationship
          • Mass Moments of Inertia
    • Artificial Intelligence

      • Neural Networks

        • Neural Networks Overview
        • Feedforward Neural Networks (FNNs)
        • MNIST Classification
      • Large Language Models (LLMs)

        • Large Language Models (LLMs) Overview
        • Generative Pre-Trained Transformer (GPT)
    • Ancient Languages

      • Fonts
    • Programming

      • Numerical Simulations

        • Complex Functions Plotting
        • 1D Schrödinger Equation
        • 2D Schrödinger Equation
        • Double Slit Experiment For Electrons
      • HP 48GX

        • Character set
        • SYSEVAL Entry Points
        • Emulator and File Transfer Guide
        • ASCII Encoding
        • Reverse Polish LISP (RPL) Language
      • Gists (Code Snippets)

        • Bash
        • C/C++
        • Python
      • Hacks and Tips

        • Python C++ Bindings
    • Applications

      • Packaging
      • Calculator
      • Color Picker
      • Mermaid.js Visualization
      • Sandbox

        • Calculator App
        • Color Picker App
        • Mermaid.js Visualization App
    • Web Tools

      • Color Scheme
      • Custom Syntax Highlighting
      • Notifications
      • UI Components
      • JSON-LD Integration
      • Color Picker tool
      • Optimized Icon Set
      • Interactive Tag Cloud
      • HTML5 App
      • Visualizations
      • Localization
    • Exercises

      • Classical Mechanics - The Theoretical Minimum

        • Interlude 1 - Interlude 3
        • Lecture 5 - Lecture 7
        • Lecture 8 - Appendix
      • Quantum Mechanics - The Theoretical Minimum

        • Lecture 1 - Lecture 3
        • Lecture 4 - Lecture 5
        • Lecture 6
        • Lecture 7
        • Lecture 8 - Lecture 10
      • Introduction to Quantum Mechanics

        • Chapter 1
        • Chapter 2
      • Special Relativity and Classical Field Theory - The Theoretical Minimum

        • Lecture 1 - Lecture 3
  • My Blog
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  • About me
  • Bibliography
  • Legacy Pages

    • Coherent State
    • Localization