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.

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.

This lecture note explains the following topics: Scattering Amplitudes,
The functional renormalization group method, Black hole thermodynamics, Tools
for supersymmetry, Theory of cosmological perturbations, Canonical gravity,
Quantization of gauge systems, Vector models in the large N limit, Neutrinos in
astrophysics and cosmology, Renormalization of the electroweak Standard Model,
BRS symmetry and cohomology.

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.

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.

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 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

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.

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.

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.

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.

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.