The Theoretical Physics Reference is an attempt to derive all theoretical physics equations from the general and special relativity and the standard model of particle physics.The topics in this pdf include: Introduction, Contributors, Mathematics, Classical Mechanics, Special and General Relativity, Classical Electromagnetism, Thermodynamics and Statistical Physics, Fluid Dynamics, Quantum Field Theory and Quantum Mechanics.
Author(s): Ondrej Certik
The topics of the lectures in the site include: Classical Mechanics, Dynamics and Relativity, Classical Dynamics, Electromagnetism, Vector Calculus, Electromagnetism, Quantum Mechanics, Quantum Mechanics, Topics in Quantum Mechanics, Condensed Matter, Solid State Physics, Quantum Hall Effect, Fluid Mechanics, Fluid Mechanics, Kinetic Theory, Statistical Physics, Statistical Physics, Statistical Field Theory, Gravitation and Cosmology, General Relativity, Cosmology, Quantum Field Theory, Particle Physics, Quantum Field Theory, Gauge Theory, Solitons, Supersymmetry and String Theory, Supersymmetric Quantum Mechanics, Supersymmetric Field Theory, String Theory.
Author(s): David Tong, University of Cambridge
This note describes the following topics: Random Walk models of polymer conformations, Gaussian chain, Self-avoiding walks and excluded-volume interaction, Scale invariance, Relation between self-avoiding walks and critical phenomena, Self-consistent field theory for polymers, Screening of excluded volume interactions, Flory-Huggins theory, Theta collapse, Blob concept, Generic phase diagram of polymer solutions, Rouse model, Zimm model, Hydrodynamic screening in semidilute solutions, Reptation model.
Author(s): Monash University, Australia
This note provides an application of mathematical methods to problems in theoretical physics. Topics covered includes: A variety of techniques employing calculus, Introduction to complex numbers, matrices, vector calculus, Fourier series, and differential equations.
Author(s): Prof. Nikolay Prokofiev
This note describes mathematical concepts that are at the basis of the modern theories of particle and condensed matter physics, as well as of some advanced topics in quantum mechanics. Topics covered includes: From Mechanics to Quantum Field Theory, Lie Groups and Lie Algebras, Galilei, Lorentz, and PoincarŽe Algebras, Abelian and Non-Abelian Gauge Fields, Topology of Gauge Fields, Angular Momentum in Quantum Mechanics.
Author(s): Uwe-Jens Wiese
This note covers the following topics: Path Integrals in Quantum Mechanics, Stochastic Processes and Path Integrals, Statistical mechanics in one dimension, Classical Field Theory , Canonical Quantization, Interacting Quantum Fields, Path Integrals in Quantum Field Theory, Many-Particle Quantum Systems, Phase Transitions.
Author(s): John Chalker and Andre Lukas
This note covers the following topics: Reversibility and Irreversibility, Thermodynamic States of Equilibrium in Dilute Solutions, Atomic Theory of Matter, Equation of State for a Monatomic Gas, Heat Radiation and Electrodynamic Theory, Heat Radiation. Statistical Theory, General Dynamics. Principle of Least Action, Principle of Relativity.
Author(s): Max Planck
This note covers the following topics: Lorentz transformations, Light-cone coordinates, Energy and momentum, Compact dimensions, orbifolds, Relativistic electrodynamics, Gauss' law, Gravitation and Planck's length, Gravitational potentials, compactification, and large extra dimensions, area formula for spatial surfaces, Relativistic strings: Nambu-Goto action, equations of motion and boundary conditions, Periodicity conditions for the motion of closed strings, The formation of cusps, Conserved currents in E&M, Conserved charges in lagrangian mechanics, Closed strings and Heterotic string theory.
Author(s): Prof. Barton Zwiebach and Prof. Alan Guth
These lectures provide bite sized introductions to a handful of topics in theoretical physics, aimed at first year undergraduates. They were given from 2008 to 2011. Presentations can be downloaded below.The lecture notes can be downloaded in both PDF and PS formats
Author(s): David Tong, Cambridge university
These lecture notes provide a detailed introduction to the bosonic string and conformal field theory, aimed at "Part III" (i.e. masters level) students. The full set of lectures notes can be downloaded here and weigh in at around 200 pages. Individual sections can be downloaded below. Last updated February 2012.This covers the following: The Classical String, The Quantum String, Open Strings and D-Branes, Introducing Conformal Field Theory, Path Integrals and Ghosts, Scattering Amplitudes, Low Energy Effective Actions, Compactification and T-Duality
Author(s): David Tong, Cambridge university
This note covers the following topics: Nelson's Stochastic Mechanics, Quantum Logic, Trivalent Logic, The Scalar Wightman Theory in 4 Space-Time Dimensions, Jordan Algebras, Octonions, p-adics, Quaternions, Rigorous Feynman Path Integrals, Euclidean Gravity, Bohmian Mechanics, The Many-Worlds Interpretation of QM, Non-self-adjoint observables, Analytic S-matrix bootstrap, Wolfram's physics as a computer programme, Dirac's programme of quantisation, Converting R. Penrose to the Copenhagen view, Mach's principle, Spheralons ,Hilbert space as classical phase space and Spin-statistics `theorems' in non-relativistic quantum mechanics.
Author(s): R. F. Streater
This book covers the following topics: General light cone, General BRST, General gauge theories, Particle, Classical mechanics, Light-cone quantum mechanics, BRST quantum mechanics, Graphs, BRST field theory, Light-cone field theory and Gauge-invariant interactions.
Author(s): Warren Siegel
This book covers the following topics: Strings in QCD, The classical string, Open and closed strings, Quantization, Lorentz invariance, Interactions and vertex operators, BRST quantization, The Polyakov path integral, T-Duality, Complex coordinates, Fermions in strings, The GSO Projection, Zero modes.
Author(s): Gerard t Hooft
This note explains the following topics: Bosonic String Field Theory, Superstring Field Theory and its Application to Tachyon Condensation, Towards Supersymmetric Extension of Vacuum String Field Theory.
Author(s): Kazuki Ohmori
This note explains the following topics: Electric fields, Electric forces, Electromagnetic waves, Geometical optics, Gauss' law, Diffraction and polarization, Interference of light, Capacitance, Current and resistance, Magnetic fields, Inductance, Faraday's law and Nuclear energy.
Author(s): Georgia State University
This note explains the following topics: String Basics, Closed strings,Open strings,Modes, gravitons,Interactions,Perturbation theory, D-branes, Superstrings, Extra dimensions, Kaluza-Klein theory, String duality, M-theory, Black holes.
Author(s): John M. Pierre
This is a brief introduction to general relativity, designed for both students and teachers of the subject. It mainly deals with Einstein's Equation and Some Consequences.
Author(s): John Baez and Emory Bunn
This note explains the following topics: Conformal field theory, BRST Quantization, Tree-level amplitudes, Loop amplitudes, Compactification and duality, Superstrings, Heterotic strings, D-branes, Strings at strong coupling.
Author(s): The University of Tennessee, Knoxville