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 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.
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
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
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
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.
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.
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.
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.