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Welcome to the My-Computational-Physics wiki!

Presented by Suhas. P. K

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Explore a diverse range of physics and math concepts with a focus on simulations, programs, and $\LaTeX$. The projects utilize Python, R and $\LaTeX$. $\LaTeX$ for documentation and guide. Using python and R may depend on the project and my ease of workflow.

Projects lists

1. Project-1: Series Expansion, Interpolation, and Curve Fitting

   • Taylor series
   • Interpolation, Splines, curve fitting
   • Error calculations

2. Project-2: Derivatives

   • Central difference method
   • Richardson's method
   • Multi-dimensional derivatives

3. Project-3: Integrals

   • Trapezoidal rule
   • Simpson's rule
   • Fourier Transforms

4. Project-4: Differential Equations-I

   • Euler's method
   • Higher order differential equations
   • Runge Kutta $4^{th}$ order method

5. Project-5: Differential Equation-II

   • Chaos and Lorentz systems
   • Heat Equation
   • 3-body problem
   • Rocketship

6. Project-6: Eigen-value Problem

   • 3-coupled oscillators
   • Analyzing eigen-modes
   • Generalization to n-coupled oscillator

7. Project-7: Monte Carlo algorithms & Magnets

   • Calculating $\pi$ using Monte Carlo
   • Simulating a magnet

8. Project-8: Quantum Mechanics - Schrodinger wave equation

   • Particle in a box
   • Quantum harmonic oscillator
   • Quantum tunneling effect

9. Project-9: Electronic Properties of Graphene

   • Free electron to band structures
   • Graphene lattice and band structure
   • Moire lattice of twisted bilayers of graphene

10. Project-10: Quantum visualization using python's qmsolve.

$\LaTeX$ Projects and Documents

All the theory and resources required for the above-mentioned projects will in this section. This section is empty as of now.

Inspiration and Resources

1. Computational Physics: Scientific Programming with Python
2. Master Math by Coding in Python
3. Mr. P Solver
4. Statistical Mechanics: Algorithms and Computations

For detailed explanations and code, refer to the respective project folders in the repository.