Technical Books

These notes present numerical methods for conservation laws and related time dependent nonlinear partial differential equations. The focus is on both simple scalar problems as well as multi dimensional systems.

This note covers the following topics Emergent Matter, ManyBody Physics in the Cold War, Renormalization group, Fractional Quantum Hall Effect, Condensed Matter Physics in the New Era.

The aim of this note is to provide a self contained introduction to the basic tools and concepts of many-body quantum mechanics and quantum field theory, motivated by physical applications, and including the methods of second quantisation, the Feynman path integral and functional field integral.

This note explains the following topics: Quantum Theory Of Solids, Quantum Statistic Of Idea Gases, Second Quantization, Periodic Structures And Bloch Theorem, Electron-electron Interactions, Dynamics Of Bloch Electrons.

These lecture notes are intended to supplement a graduate level course in condensed matter physics. Topics covered includes: Boltzmann Transport, Mesoscopia, Linear Response Theory, Response and Resonance, Magnetism.

This note covers the following topics: introduction to soft materials, Surfactants,The van der Waals potential, Forces arising from fluctuations, Introduction to polymers, freely-jointed-chain calculation, worm-like chain model, The Langevin equation, Diffusion equation, The Dynamic light scattering (DLS), Liquid interfaces, The shape of a liquid interface and capillary forces, Lipid membranes, The Flory Huggins theory, Colloidal gels and the fractal dimension, Hydrodynamics.

The topics in the pdf include: Conventions, Notation, Reminders, Basic Formalism, Phonons and Second Quantization, Perturbation Theory: Interacting Phonons, Feynman Diagrams and Green Functions, Imaginary-Time Formalism Measurements and Correlation Functions, Functional Integrals, Goldstone Modes and Spontaneous Symmetry Breaking, Spin Systems and Magnons, Symmetries in Many-Body Theory, Critical Fluctuations and Phase Transitions, The Renormalization Group and Effective Field Theories, Fermions, Interacting Neutral Fermions: Fermi Liquid Theory, Electrons and Coulomb Interactions, Electron-Phonon Interaction, Rudiments of Conformal Field Theory, Symmetry-Breaking In Fermion Systems, Gauge Fields and Fractionalization, Localized and Extended Excitations in Dirty Systems.

The topics explained in this pdf include: Broken Symmetry, Crystal Math, Deformations of Crystals, Electronic Band Structure of Crystals, Metals, Semiconductors and Insulators, Mesoscopia, Landau Fermi Liquid Theory, Linear Response of Quantum Systems, Phenomenological Theories of Superconductivity, BCS Theory of Superconductivity, Applications of BSC Theory, Magnetism, Spins, Coherent States, Path Integrals, and Applications.

Topics covered in this lecture note are : Many electron systems, Second quantization, Interactions in the electron gas, Mean field approaches. Hartree-Fock approximation, Lattice based descriptions, Artificial quantum systems, Low dimensional systems: From the real to the Hilbert space.

The contents in this pdf include Basic concepts, Lattice Vibrations Phonons, Electrons in a Lattice, Normal Metals, Classical Transport in Electron and Phonon Systems.

The purpose of this note is demonstrate to students how computers can enable us to both broaden and deepen our understanding of physics by vastly increasing the range of mathematical calculations which we can conveniently perform. Topics covered includes Scientific programming in C, Integration of ODEs, The chaotic pendulum, Poissons equation, The diffusion equation, The wave equation, Particleincell codes and MonteCarlo methods.

This book covers the following topics: Kinematics, Logistic Map, Logistic Map, Motion of a Particle, Planar Motion, Motion in Space, Electrostatic, Diffusion on the Circle, The Anharmonic Oscillator, Time Independent Schr�dinger Equation, The Random Walker, Monte Carlo Simulations, Critical Exponents.

This PDF covers the following topics related to Computational Physics The pendulum, Kepler orbits, The restricted planar three body problem, Linear wave equations in one dimension, Wave equations in higher dimensions.

This PDF covers the following topics related to Computational Physics : Stochastic Processes, Random Numbers, Percolationl, Fractals, Monte Carlo Methods, Solving Systems of Equations Numerically, Solving Equations, Ordinary Differential Equations, Partial Differential Equations.

This PDF covers the following topics related to Computational Physics using MATLAB : Uranium Decay, The Pendulum, The Solar System, Potentials and Fields, Waves, Random Systems, Quantum Mechanics.