The goal of this note is to survey various
ground states of condensed matter, many particle systems, explore their
excitations and concomitant properties. Topics covered includes: Models,
hamiltonians and symmetries, Periodic potentials or tight-binding models, Many
particles, second quantization and field theoretic formulation, Metals and
insulators, Physics of metals: transport theory, Phonons and electron-phonon
interactions, Electron-electron interactions, Interaction effects in
semiconductors: excitons, Instabilities of fermi liquid, Superconductivity, GL
and BCS theories, Magnetism, Charge density wave systems, Mott transition.
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.
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.
Condensed Matter Physics is the study
of materials in Solid and Liquid Phases. Topics covered includes: Crystallography, Structures, Structure Determination, The Reciprocal Lattice,
Electrons, Electronic State, Approximate Models, Electron-Electron Interactions,
Stability of Structures, Metals, Phonons, Harmonic Phonons, Magnetic Impurities,
Itinerant Magnetism, Magnetic Neutron Scattering and Superconductivity.
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.
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.