PSI Lectures/2010

2009 <<<     >>> 2011

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;

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 Part1Part2- 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

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