PSI Lectures/2010

2009 <<<                      >>> 2011

Front

Research Skills - Kari Dalnoki-Veress

• Lecture 1

• Lecture 2

• Lecture 3 - Part1; Part2; Part3; Part4

Theoretical Physics - Nima Arkani-Hamed

• Lecture 1 - Part1; Part2;A

• Lecture 2 - Part1; Part2;

• Lecture 3 - Part1; Part2;

• Lecture 4 -Part1; Part2;

• Lecture 5 - Part1; Part2;

Maths and Mathematica - Pedro Vieira

• Lecture 1 - Part1; Part2;

• Lecture 2 -Part1; Part2;

• Lecture 3 - Part1; Part2;

• Lecture 4 - Part1; Part2; Part3;

• Lecture 5 - Part1; Part2;

• Lecture 6 - Part1; Part2;

• Lecture 7 - Part1; Part2;

• Lecture 8 - Part1; Part2;

• Lecture 9 - Part1; Part2;

Core

Quantum Theory - Ben Schumacher

• Lecture 1 - Unitary time evolution

• Lecture 2 - Heisenberg and Schroedinger Pictures. Rotation of spin-1/2 particles

• Lecture 3 - Conservation laws, symmetries and generators

• Lecture 4 - Angular momentum. Path integral

• Lecture 5 - Path integral continued

• Lecture 6 - Composite systems. Addition of angular momenta

• Lecture 7 - Entanglement; CHSH inequality

• Lecture 8 - Density operator; Bloch sphere

• Lecture 9 - Partial trace; Schmidt decomposition; Open system dynamics; Kraus operators

• Lecture 10 - Markovian approximation and Lindblad equation. CP maps. Wonderful theorem

• Lecture 11 - Generalized measurements. Application to thermodynamics. Entropy

• Lecture 12 - Distinguishability. No signaling. Decoding theorem. Information isolation theorem. No cloning theorem as a corollary to information isolation theorem

• Lecture 13 - Quantum computation. Quantum gates

• Lecture 14 - Quantum circuits. Function evaluation. Deutsch-Jozsa Problem

• Lecture 15 - NMR for quantum computing

Relativity - Neil Turok

• Lecture 1 - Special Relativity: Lorentz transform., Maxwell equations

• Lecture 2 - Special Relativity: 4-velocity, 4-momentum, rest energy

• Lecture 3 - Stress-energy tensor. Curved manifolds and tensors

• Lecture 4 - Principle of equivalence, metric tensor, connections

• Lecture 5 - Properties of metric tensor, transform. of tensors, torsion

• Lecture 6 - Riemann and Ricci tensors and their properties

• Lecture 7 - Geodesics, and geodesic deviations; Newtonian gravity

• Lecture 8 - Einstein's equations and their properties

• Lecture 9 - Schwarzschild solution and gravitational radius

• Lecture 10 - Einstein-Hilbert action, variational principle

• Lecture 11 - Particle in a gravitational field, bending of light

• Lecture 12 - Black holes, Eddington-Finkelstein coordinates

• Lecture 13 - Event horizon, Kruskal coordinates, gravitational collapse

• Lecture 14 - Rotating black holes, Kerr metric, ergosphere

• Lecture 15 Part1 Part2 - Introduction to Cosmology

Quantum Field Theory 1 - Konstantin Zarembo

• Lecture 1

• Lecture 2

• Lecture 3

• Lecture 4

• Lecture 5

• Lecture 6

• Lecture 7

• Lecture 8

• Lecture 9

• Lecture 10

• Lecture 11

• Lecture 12

• Lecture 13

• Lecture 14

Statistical Mechanics - Leo Kadanoff

• Lecture 1 - Outline of the course

• Lecture 2 - Probabilities and distributions

• Lecture 3 - Gaussian distribution, partition function

• Lecture 4 - Classical (Ising) and quantum (Heisenberg) spin chains

• Lecture 5 - Renormalization in one dimension, transfer matrix

• Lecture 6 - Two-dimensional Ising model, duality and critical point.

• Lecture 7 - Random walks and diffusion equation

• Lecture 8 - Brownian motion, Einstein's dynamics

• Lecture 9 - Hamiltonian dynamics, Liouville's theorem

• Lecture 10 - Boltzmann equation, detailed balance and H-theorem

• Lecture 11 - Phase transitions: history and mean-field approach

• Lecture 12 - Phase transitions: renormalization near critical point

• Lecture 13 - Elements of Conformal Field Theory

Quantum Field Theory 2 - François David

• Lecture 1 - Path integral quantization. Imaginary time. Quantum mechanics at finite temperature. Analogy with statistical mechanics

• Lecture 2 - Path integral quantization. Imaginary time. Quantum mechanics at finite temperature. Analogy with statistical mechanics

• Lecture 3 - The Wick rotation and Wick's theorem

• Lecture 4 - phi^4 perturbation theory. Generating functionals for correlation functions

• Lecture 5 - Generating functional for connected Green's functions. The quantum effective action

• Lecture 6 - The quantum effective action continued. Feynman amplitudes and their short distance singularities

• Lecture 7 - Short distance singularities of Feynman amplitudes continued. Operator product expansion

• Lecture 8 - Renormalization of massless phi^4 theory

• Lecture 9 - Renormalization group. The Beta function of massless phi^4 theory

• Lecture 10 - Grassmann algebra. Berezin calculus. Wick's theorem for fermions. Feynman propagator for Dirac fields

• Lecture 11 - Gauge theories. Non-abelian gauge theories. Action of Yang-Mills theory coupled to SU(2) Dirac fermions

• Lecture 12 - Feynman rules for Yang-Mills theory coupled to SU(2) Dirac fermions. Problems related to gauge-fixing

• Lecture 13 - Quantization of non-abelian gauge theories. Faddeev-Popov determinant

• Lecture 14 - Feynman rules and the beta function of non-abelian gauge theories

• Lecture 15 - The Wilsonian Renormalization Group

Scientific Computation - Erik Sorensen

• Lecture 1 - Fortran90 basics: types of data, building blocks, interface

• Lecture 2 - Fortran90: attributes, subroutines, scope rules

• Lecture 3 - Fortran 90: modules, arrays, intrinsic procedures

• Lecture 4 - Storage of variables in memory, elementary operations

• Lecture 5 - Root finding; continued fractions

• Lecture 6 - Computational errors and methods to reduce them

• Lecture 7 - Differentiation; Richardson extrapolation

• Lecture 8 - Methods for numerical integration

• Lecture 9 - Schrodinger equation: Numerov's algorithm

• Lecture 10 - Differential equations; predictor-corrector methods

• Lecture 11 - Linear algebra: eigenvalue problem, Jacobi method

• Lecture 12 - Linear algebra: Lanczos diagonalization

• Lecture 13 - Generators of random numbers; Box-Muller algorithm

• Lecture 14 - Monte Carlo integration; Metropolis algorithm

• Lecture 15 - Quantum Monte Carlo simulations

Conformal Field Theory - Jaume Gomis

• Lecture 1 - What is CFT?

• Lecture 2 - Classical and Quantum phase transitions

• Lecture 3 - General Conformal Group

• Lecture 4 - Conformal algebra

• Lecture 5 - Primary and Secondary Conformal Fields

• Lecture 6 - Constraints on correlation functions

• Lecture 7 - Generators of conformal algebra

• Lecture 8 - Conformal Ward identities

• Lecture 9 - Q A Session

• Lecture 10 - Operator product expansion

• Lecture 11 - Construction of descendent states

• Lecture 12 - Operator product expansion

• Lecture 13 - Null states and Kac determinant

• Lecture 14 - CFT of the 2 dimensional Ising model

• Lecture 15 - Correlation functions of the 2 dimensional Ising model

Mathematical Physics - Carl Bender

• Lecture 1 - Introduction to Perturbation theory

• Lecture 2 - Physical interpretation of singularities in perturbation theory: The anharmonic oscillator

• Lecture 3 - Shanks transformation

• Lecture 4 - Richardson extrapolation

• Lecture 5 - Fourier Series

• Lecture 6 - Convergence of Fourier series and Gibbs phenomenon

• Lecture 7 - Fourier series and divergent series

• Lecture 8 - Euler and Borel summation of series

• Lecture 9 - Continued functions and continued fractions

• Lecture 10 - Pade approximation

• Lecture 11 - Feynman diagrams and Pade approximants

• Lecture 12 - Feynman diagrams in 1+0 dimensional field theory

• Lecture 13 - Asymptotics basics, Asymtotic approximate solutions to differential equations and WKBJ approximation

• Lecture 14 - Asymptotic series, Stokes phenomena, Stieltjes series and Stieltjes functions

• Lecture 15 - Stiltjes functions, Carleman condition, perturbation theory and dispersion relation

Review

Standard Model (Review) - Michael Peskin

• Lecture 1 - Introduction to Particle Physics

• Lecture 2 - Particle detectors

• Lecture 3 - Particle detectors and scattering cross-section

• Lecture 4 - Electron Positron Annihilation

• Lecture 5 - Electron quark scattering

• Lecture 6 - Introducing Asymptotic Freedom

• Lecture 7 - Lagrangian of String Interactions

• Lecture 8 - Hadronic Showers and Parton Evolution

• Lecture 9 - Chiral Symmetry

• Lecture 10 - Weak Interactions

• Lecture 11 - Higgs Mechanism

• Lecture 12 - W and Z

• Lecture 13 - CKM Mixing and CP Violation

• Lecture 14 - Top Quark

• Lecture 15 - Higgs Boson

Condensed Matter (Review) - John Berlinsky

• Lecture 1 - Basic concepts of Condensed Matter theory

• Lecture 2 - Motion in a periodic potential

• Lecture 3 - Nearly free electrons and tight-binding models

• Lecture 4 - Tight binding bend structure and interactions between electrons

• Lecture 5 - Hartree-Fock scattering

• Lecture 6 - Landau Fermi liquid: excitation spectrum

• Lecture 7 - Landau Fermi Liquid Parameters

• Lecture 8 - Perturbations in the Fermi Liquid

• Lecture 9 - Transport Properties

• Lecture 10 - Superconductivity: Criteria for Super Fluid Flow

• Lecture 11 - Origin of BCS Theory

• Lecture 12 - Superconducting Gap Equation

• Lecture 13 - Extended Hubbard Model

• Lecture 14 - Nodal Superconductivity

• Lecture 15 - Resonating Valence Bond States

Foundations of Quantum Mechanics (Review) - Rob Spekkens

• Lecture 1 - The Orthodox postulates of Quantum Theory and the Realistic Strategy

• Lecture 2 - Operational formulation of quantum theory

• Lecture 3 - The most general types of preparations. The most general types of measurements: POVMs

• Lecture 4 - The most general type of transformations and axiomatizations of quantum theory.

• Lecture 5 - Axiomatic Quantum Mechanics(Lecture by Lucien Hardy)

• Lecture 6 - Realism via hidden variables

• Lecture 7 - Evidence in favour of PSI-epistemic hidden variable models

• Lecture 8 - Classical complementarity as an epistemic restriction

• Lecture 9 - Bell's Theorem

• Lecture 10 - Non-locality in more depth

• Lecture 11 - Generalized notions of non-contextuality

• Lecture 12 - Non-contextuality and Classicality; The deBroglie-Bohm Interpretation

• Lecture 13 - The deBroglie-Bohm Interpretation

• Lecture 14- Remaining questions on deBroglie-Bhom; Collapse Theories

• Lecture 15 - The Many Worlds Interpretation of Quantum Mechanics

Quantum Gravity (Review) - Renate Loll

• Lecture 1 - What is Quantum Gravity about?

• Lecture 2 - Linearized Einstein Equations and Gravitational Waves

• Lecture 3 - Quantization of Gravitational Waves

• Lecture 4 - Gravitational Path Integral

• Lecture 5 - Perturbative Gravity

• Lecture 6 - Canonical Quantization

• Lecture 7 - Constrained Hamiltonian Systems

• Lecture 8 - Arnowitt-Deser-Misner Formalism

• Lecture 9 - Dirac Algebra and Quantizing the Constrained Systems

• Lecture 10 - Wheeler-DeWitt Equations

• Lecture 11 - Loop Quantum Gravity

• Lecture 12 - Wilson Loops in Quantum Gravity

• Lecture 13 - Dynamical Triangulations

• Lecture 14 - Nonperturbative Path Integral in Terms of Dynamical Triangulations

• Lecture 15 - Some Results Related to the Causal Dynamical Triangulations Approach

Gravitational Physics (Review) - Ruth Gregory

• Lecture 1 - The Mathematical Toolbox of General Relativity

• Lecture 2 - The Lie Derivative and Exterior Derivative

• Lecture 3 - The Covariant Derivative and Cartan's Structural Equations

• Lecture 4 - The Spacetime around a Star

• Lecture 5 - Beginning with Black Holes

• Lecture 6 - Observing Black Holes

• Lecture 7 - Exploring the C-metric

• Lecture 8 - Integration on Manifolds

• Lecture 9 - Gauss-Codazzi Formalism

• Lecture 10 - Gibbons-Hawking Boundary Term; Black Hole Thermodynamics

• Lecture 11 - Black Holes in Extra Dimensions

• Lecture 12 - Kaluza-Klein Compactification and Monopoles

• Lecture 13 - Linear Perturbation Theory the Black String Instability

• Lecture 14 - Domain Walls, the Israel Equations Randall-Sundrum Models

• Lecture 15 - Braneworld Cosmology

Cosmology (Review) - Latham Boyle

• Lecture 1 - Review of Differential Geometry

• Lecture 2 - Differential Geometry and Palatini Action

• Lecture 3 - Yang-Mill's Theory; Maximally Symmetric Space Times

• Lecture 4 - Maximally Symmetric Space Times and FRW Universes

• Lecture 5 - FRW Space Times: Kinematics

• Lecture 6 - FRW Space Times: Kinematics and Dynamics

• Lecture 7 - FRW Universes

• Lecture 8 - Thermodynamics in an Expanding Universe; Freeze out Big Bang Nucleosynthesis

• Lecture 9 - Big Bang Nucleosynthesis; Cosmic Microwave Background (CMB)

• Lecture 10 - Dark Matter

• Lecture 11 - WIMPS: Hot Thermal Relics

• Lecture 12 - WIMPS: Cold Thermal Relics, Non-Thermal Relics and Baryogenesis

• Lecture 13 - Baryogenesis Inflation; The Flatness Problem; The Horizon Problem

• Lecture 14 - The Single Field Slow Roll Inflation

• Lecture 15 - Perturbations and Power Spectrum

Quantum Information (Review) - Daniel Gottesman

• Lecture 1 - Reversible Computation and Introduction to Quantum Circuits

• Lecture 2 - Universal Set of Quantum Gates; No Cloning Theorem; Quantum Teleportation

• Lecture 3 - Di Vincenzo Criteria Ion Traps

• Lecture 4 - Implementations of Quantum Computing

• Lecture 5 - Introduction to Complexity Theory

• Lecture 6 - Complexity Theory the Deutsch-Josza Algorithm

• Lecture 7 - RSA Shor's Factoring Algorithm

• Lecture 8 - Shor's Algorithm Continued

• Lecture 9 - Grover's Algorithm

• Lecture 10 - Quantum Error Correction

• Lecture 11 - Stabilizer Codes

• Lecture 12 - Quantum Key Distribution

• Lecture 13 - Entanglement

• Lecture 14 - Compression and Channel Capacity

String Theory (Review) - Freddy Cachazo

• Lecture 1 - Why String Theory?

• Lecture 2 - Classification of Lie Groups

• Lecture 3 - Relativistic Actions for Particle String

• Lecture 4 - Open and Closed Strings

• Lecture 5 - Conserved Charges and String Quantization

• Lecture 6 - Light-Cone Quantization

• Lecture 7 - Quantum Gravity from Bosonic Strings

• Lecture 8 - Fermionic Strings

• Lecture 9 - Quantization and Constraints of Fermionic Strings

• Lecture 10 - Closed Fermionic Strings

• Lecture 11 - Complex Manifolds

• Lecture 12 - Type IIA and type IIB Superstrings; String Geometry

• Lecture 13 - Supersymmetry D-branes

• Lecture 14 - Toroidal Compactifications

• Lecture 15 - 11 Dimensional Supergravity

Beyond the Standard Model (Review) - Veronica Sanz

• Lecture 1 - Introduction to BSM Physics; Dark Matter

• Lecture 2 - Baryon Asymmetry; Neutrino Mass; The Hierarchy Problem

• Lecture 3 - Global, Local, Spontaneously Broken Accidental Symmetries; Confronting BSM models with data

• Lecture 4 - Supersymmetry; Cancellation of Quadratic Divergences

• Lecture 5 - The Susy Algebra and its Representations; the Minimal Supersymmetric Standard Model and Soft Susy Breaking

• Lecture 6 - Dark Matter; Gauge Coupling Unification; Supersymmetry breaking

• Lecture 7 - Supersymmetry Breaking; The Supertrace; Gauge and Gravity Mediation Scenarios

• Lecture 8 - Introduction to Extra Dimensions; The ADD Scenario (Large Extra Dimensions); Collider Signatures (Black Holes)

• Lecture 9 - Generating Hierarchies without Symmetry; Randall-Sundrum Models; Wavefunction Localisation

• Lecture 10 - Custodial Symmetry; Model Building with Strong-Coupled Dynamics; Seiberg Duality

• Lecture 11 - Scalar Fields in AdS; Holography Phenomenology

• Lecture 12 - Building Holographic Models of ElctroWeak Symmetry Breaking

• Lecture 13 - Holographic Technicolor and ElectroWeak Precision Data; Extra-dimensional Higgs as a Pseudo-Goldstone Boson

• Lecture 14 - Q A Session: Naive Dimensional Analysis, QFT on a Lattice