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NOTES

An Introduction to Quantum Ising Model (pdf)

This is a tutorial introduction to the exact solution of 1-d Quantum Ising Model

Probability Sampling (pdf)

This is a small comment regarding the probability used for Monte-Carlo simulations using Metropolis algorithm.

Stochastic Reaction Diffusion System (pdf)

This is a tutorial introduction to the basic theory of stochastic simulation of reaction diffusion processes.

Jordan Canonical Form (pdf, ps)

In this note I have outlined the algorithm to find the Jordan Canonical Form of a given square matrix. Then I have given an example to illustrate the method.

Series Sum Using Complex Analysis (pdf, ps)

This note presents a method to sum arbitrary series satisfying certain conditions using complex analysis. A detailed proof to get the useful formula is presented here.

Density Matrix in Quantum Theory (pdf, ps)

This note is an introduction to density matrices in quantum mechanics.

Singular Value Decomposition (pdf, ps)

This is an introduction to the method of singular value decomposition. This note presents the algorithm to find the singular value decomposition. It also includes a worked example for illustration.