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.
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
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.
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.
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.