Research Skills - Kari Dalnoki-Veress
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Lecture 2 - Heisenberg and Schroedinger Pictures. Rotation of spin-1/2 particles
Lecture 3 - Conservation laws, symmetries and generators
Lecture 6 - Composite systems. Addition of angular momenta
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 14 - Quantum circuits. Function evaluation. Deutsch-Jozsa Problem
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
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 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 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 2 - Classical and Quantum phase transitions
Lecture 5 - Primary and Secondary Conformal Fields
Lecture 6 - Constraints on correlation functions
Lecture 15 - Correlation functions of the 2 dimensional Ising model
Lecture 1 - Introduction to Perturbation theory
Lecture 2 - Physical interpretation of singularities in perturbation theory: The anharmonic oscillator
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 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
Lecture 3 - Particle detectors and scattering cross-section
Lecture 7 - Lagrangian of String Interactions
Lecture 8 - Hadronic Showers and Parton Evolution
Lecture 1 - Basic concepts of Condensed Matter theory
Lecture 3 - Nearly free electrons and tight-binding models
Lecture 4 - Tight binding bend structure and interactions between electrons
Lecture 6 - Landau Fermi liquid: excitation spectrum
Lecture 8 - Perturbations in the Fermi Liquid
Lecture 10 - Superconductivity: Criteria for Super Fluid Flow
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 7 - Evidence in favour of PSI-epistemic hidden variable models
Lecture 8 - Classical complementarity as an epistemic restriction
Lecture 11 - Generalized notions of non-contextuality
Lecture 12 - Non-contextuality and Classicality; The deBroglie-Bohm Interpretation
Lecture 14- Remaining questions on deBroglie-Bhom; Collapse Theories
Lecture 15 - The Many Worlds Interpretation of Quantum Mechanics
Lecture 2 - Linearized Einstein Equations and Gravitational Waves
Lecture 3 - Quantization of Gravitational Waves
Lecture 9 - Dirac Algebra and Quantizing the Constrained Systems
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
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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 10 - Gibbons-Hawking Boundary Term; Black Hole Thermodynamics
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 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 6 - FRW Space Times: Kinematics and Dynamics
Lecture 8 - Thermodynamics in an Expanding Universe; Freeze out Big Bang Nucleosynthesis
Lecture 9 - Big Bang Nucleosynthesis; Cosmic Microwave Background (CMB)
Lecture 12 - WIMPS: Cold Thermal Relics, Non-Thermal Relics and Baryogenesis
Lecture 13 - Baryogenesis Inflation; The Flatness Problem; The Horizon Problem
Lecture 1 - Reversible Computation and Introduction to Quantum Circuits
Lecture 2 - Universal Set of Quantum Gates; No Cloning Theorem; Quantum Teleportation
Lecture 4 - Implementations of Quantum Computing
Lecture 5 - Introduction to Complexity Theory
Lecture 6 - Complexity Theory the Deutsch-Josza Algorithm
Lecture 3 - Relativistic Actions for Particle String
Lecture 5 - Conserved Charges and String Quantization
Lecture 7 - Quantum Gravity from Bosonic Strings
Lecture 9 - Quantization and Constraints of Fermionic Strings
Lecture 12 - Type IIA and type IIB Superstrings; String Geometry
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