Computing
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MATLAB
Hands-on training
- MATLAB: Getting Started
- MATLAB: Sparse Matrices
- MATLAB: FFT
- MATLAB Student Center
- Some Common MATLAB Programming Pitfalls and How to Avoid Them
Reference
Books and notes
- C. Moler: Numerical Computing with MATLAB (SIAM, Philadelphia, 2004). [PDF]
- UD Crash Course on Matlab
Implementation Tools
M-files
- electron_density.m (code for Problem 1 in Homework Set 1)
- disordered_nanowire.m (code for Problems 2 & 3 in Homework Set 2)
- dos_negf.m (code to compute the density of states of a nanowire using Green functions)
M-functions
- matrix_exp.m (Exponential, or any other function with small changed in the code, of a Hermitian matrix)
- visual_graphene_H.m (For a given tight-binding Hamiltonian on the honeycomb lattice, function plots position of carbon atoms and draws blue lines to represent hoppings between them; red circles to represent on-site potential between them; and cyan lines to represent the periodic boundary conditions; it can be used to test if the tight-binding Hamiltonian of graphene is set correctly); This function calls another three function which should be placed in the same directory (or in the path): atomCoord.m, atomPosition.m, and constrainView.m
- self_energy.m (Self-energy of the semi-infinite ideal metallic lead modeled on the square tight-binding lattice - the code shows how to convert analytical formulas of the lead surface Green function into a working program)
Mathematica
Hands-on training
- Mathematica: Getting Started
- Mathematica: Differential Equations
- Mathematica: Linear Algebra
- Wolfram hands-on start to Mathematica
Tutorials
- J. J. Kely, Essential Mathematica for students of science
- L. Pryadko, Exploring many-body quantum physics with Mathematica
Books
- H. Ruskeepaa, Mathematica Navigator [publisher Website]
