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.
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 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 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.
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
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: 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: 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: 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
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.