# Computational Physics

Indian Institute of Science Education and Research, Pune via Swayam

**Provider**Swayam

**Cost**Free Online Course

**Session**Finished

**Language**English

**Certificate**Paid Certificate Available

**Duration**12 weeks long

## Overview

This course aims to give the students competence in the methods and techniques of calculations using computers. At the end of the course the student is expected to have a hands on experience in modeling, algorithm development, implementation and calculation of physical quantities of relevance in interacting many body problems in physics. Both quantum and classical computational tools will be introduced.

INTENDED AUDIENCE: Masters students in physics, engineering physics students and scientists interested in quantum and/OR molecular modelling.PREREQUISITES: Basic Statistical Physics and quantum mechanics.INDUSTRY SUPPORT: Shell, Unilever,TCS

INTENDED AUDIENCE: Masters students in physics, engineering physics students and scientists interested in quantum and/OR molecular modelling.PREREQUISITES: Basic Statistical Physics and quantum mechanics.INDUSTRY SUPPORT: Shell, Unilever,TCS

## Syllabus

### COURSE LAYOUT

**Week 1:**Rapid overview of Fortran programming Language

**Week 2:**Random Number generation and testing, Generation of random numbers with given distribution

**Week 3:**Numerical Integration: (a) Deterministic: Trapezoidal method & (b) Multi-dimensional Integration

using stochastic methods.

**Week 4:**Lattice Monte Carlo simulations using Ising model to understand phase transitions: Metropolis

algorithm, understanding kinetic barriers, finite size effects, role of thermal fluctuations

**Week 5:**Metropolis algorithm, understanding kinetic barriers, finite size effects, role of thermal fluctuations;

Principle of detailed balance, calculating thermodynamic averages

**Week 6:**Determining transition temperature using Binders cumulant

**Week 7:**Solving differential equations

**Week 8:**Linear, non-linear and coupled differential equations

**Week 9:**Solving differential equations Schrodinger eqn. in Quantum Mechanics with Numerov’s algorithm

and variational principle.

**Week 10:**Classical Molecular Dynamics simulations using Lennard-Jones’ potential

**Week 11:**Classical Molecular Dynamics simulations using Lennard-Jones’ potential

**Week 12:**Classical Molecular Dynamics simulations using Lennard-Jones’ potential