Validation du Master 1 de Physique fondamentale.
Candidature et admission aux Master 2 suivants : Concepts fondamentaux de la physique : Physique Théorique (ENS Ulm) Noyaux, Particules, Astroparticules et Cosmologie (NPAC - Orsay)
--- Master 1 : 240 ECTS ---
PHY 611 : Quantum Field Theory II
Instructor : STERMAN, G
• Classical and quantum symmetries
• Second quantization
• Particle interpretation, free fields, the S-matrix and cross sections
• Path integrals, perturbative expansions, finite temperature
• Nonrelativistic fermion fields; quasiparticles
• Representations of the Poincar´e group; supersymmetry
• The Dirac equation
• Abelian and nonabelian gauge theories, QED and QCD
• Spontaneuous symmetry breaking, the Higgs mechanism
• Concepts of renormalization
• Basic tests of the standard model and searches for new physics
PHY 551 : Nuclear Physics
Instructor : Verbaarschot, J
The following is a list of topics to be discussed in this lecture :
The Standard Model , QCD,
Level Correlations, Electro-Weak Interactions, Classical Chaos, The Nucleon, Quantum Chaos, Bag Model,
Theory of S-Matrix Fluctuations, Skyrme Model,
Elastic Enhancement Factor,
The Nucleon-Nucleon Interaction, Spreading Width,
The Deuteron, Ericson Fluctuations, Infinite Range Approximation, Infinite Nuclear Matter, Level Density, Level Correlations, Shell Model, Nuclear Equation of State, Liquid Drop Model , Fermi Liquid Theory, Compound Nucleus, Landau Parameters, Bjorken Picture of Heavy Ion Collisions, Relativistic Hydrodynamics, Bolsteri-Brwon Model, Lipkin Model, Statistical, Spectroscopy, Two-Body Random Matrix Ensemble.
PHY 612 : Theoretical Particle Physics
Instructor: Concha Gonzalez-Garcia,
1. Standard Model
- Overview of standard model gauge theory.
- Electroweak symmetry breaking and the hierarchy problem.
- Electroweak radiative corrections and precision tests : the little hierarchy problem
- Flavour sector (flavour, CP violation , K,B and top physics), neutrinos.
2. Extensions of the standard model : GUT, supersymmetry, Extradimensions, Technicolour.
3. Collider phenomenology (basic on hadronic collisions, examples ; focus on LHC)
4. Advanded topic in cosmo/astro/particle physics
PHY 540 : Statistical Mechanics
Instructor : B.McCoy, R.Schrock.
1. Brief review of thermodynamics.
2. Fundamental concepts of statistical mechanics: statistical description,
ensembles, entropy, statistical distributions.
3. Examples of simple statistical systems: classical and quantum ideal
gases.
4. Spin systems. Mean field theory, phase transitions.
5. Second quantization. Weakly non-ideal quantum gases. Superfluidity
and superconductivity.
6. Linear response theory. Fluctuations.
7. Critical phenomena and renormalization group.
Grading
BUS 355 : Investments Analysis
Instructor : Menton, A
The course will cover the mechanics of buying and selling securities, efficient market theory, portfolios and diversification, stock valuation, and international investing.
POL 103 : Comparative Politics
Instructor : Myers, F
This course is designed to introduce students to key concepts in political science and to
important characteristics of some of the world's major political systems.
PHY 610 : Quantum Field Theory I
Instructor : STERMAN, G
• Classical and quantum symmetries
• Second quantization
• Particle interpretation, free fields, the S-matrix and cross sections
• Path integrals, perturbative expansions, finite temperature
• Nonrelativistic fermion fields; quasiparticles
• Representations of the Poincar´e group; supersymmetry
• The Dirac equation
• Abelian and nonabelian gauge theories, QED and QCD
• Spontaneuous symmetry breaking, the Higgs mechanism
• Concepts of renormalization
• Basic tests of the standard model and searches for new physics
PHY 620 : Modern General Relativity
Instructor : SIEGEL, W
Special Relativity and related topics
1. coordinates: Poincaré & conformal group
2. spin: Weyl spinor notation
3. actions
4. particles
5. Yang-Mills
General Relativity
1. cosmology without gravity
2. actions: symmetries, covariant derivatives, field equations
3. gauges: coordinate systems, geodesics
4. curved spaces: cosmology, Schwarzschild, classic experiments, black holes
Introductions to more-advanced topics
1. supergravity
2. gauge theories for higher spin
PHY 472 : Solid State Physics
Instructor : GOLDMAN, V
1. Crystal Structure and Binding
2. Lattice Vibrations: Phonons and Thermal Properties
3. Electronic States in Solids: Energy Bands
4. Electrons in Metals: Electrical and Thermal properties
5. Superconductivity
6. Ionic Insulators: Optical properties
7. Semiconductors and Semiconductor Devices
8. Low-dimensional and nano-structures
9. Magnetism and Magnetic Materials
PHY 680 : Topics in Theoretical Physics
Instructor : VAN NIEUWENHUIZEN, P
Group Theory.
MAT 364 : Topology and Geometry
Instructor : LOWELL, J
- Elementary knot theory
- Topology of surfaces
- Geometry of smooth curves and surface
-Global invariants of surfaces - hyperbolic plane
- Symmetries and groups
Après examens des bons résultats de Mr Topper, le Jury de Licence de Physique qui s'est réuni le 19 Juin 2007 lui a décerné la Licence de Sciences et Technologie : Physique Fondamentale avec la mention Bien
--- Licence 3 : 180 ECTS ---
PHY 375R : Introduction to Relativity
Instructor : GLEESON, A
Overview of the special and general theories of relativity, with emphasis on recent developments in gravitation.
PHY 362K : Applications of Quantum Mechanics
Instructor : SITZ, G
The two-electron atom; spin and statistics; coupling schemes for many-electron atoms; atoms and the radiation field; perturbation methods for decay and collisions; thermal, electrical, and magnetic properties of solids; free-electron metal and band theory; selected topics such as superconductivity, Josephson tunneling, and others
PHY 474 : Advanced Senior Laboratory
Instructor : HOFFMANN, G
Modern experimental techniques, theory of error, and analysis of experiments; both modern and classical experiments in atomic and nuclear physics, electricity and magnetism, optics and heat.
PHY 333 : Modern Optics
Instructor : KETO, J
Review of geometrical optics, polarization, interference, and optical instruments.
Topics include Fourier optics, light propagation in fibers, quantum optics, and coherence.
PHY352K :Classical Electrodynamics
Instructor : GENTLE, KENNETH
Electrostatics. Electrostatic Fields in Matter. Magnetostatics.Magnetic Fields in Matter.
Electrodynamics.
Electromagnetic Waves (in vacuum, in matter,
guided waves). Potentials and Fields (gauge transformations,
retarded potentials, Liénard-Wiechart potentials,...).
Radiation.
Electrodynamics and Relativity.
PHY369 : Statistical Mechanics
Instructor : REICHL, LINDA
Probability theory : Coutnig of states,
Probability theory Thermodynamics :
First, Second Law, Response
functions, stability of matter and conditions for equilibrium,
Chemical rections, osmosis,...
Statistical Mechanics : Debye solid, Black body
radiation, Mean field theory of spin systems.
Quantum ideal fluids
Transport Process : Heat flow, Dffusion, Thermal
diffusion, Viscosity
PHY372 : Quantum Mechanics
Instructor : FITZPATRICK, RICHARD
Wave-particle duality, fundamentals
of QM, one-dimensional potentials, multiple particle systems,
three-dimensional QM, angular momentum, central potentials,
time-independant and time-dependant perturbation theory,
Variational methods, scattering theory
PHY362L : Subatomic Physics
Instructor : SCHWITTERS, ROY
Special Relativity, Scattering,
Decay, Nuclear stability,
Quark model, Feynman Diagrams, QCD, Weak
interactions, Matter oscillation, Standard Model/Unification,
Beyond the standard model.
--- Licence 2 : 120 ECTS ---
LP210 : Astronomy - Astrophysics
. Order of magnitudes, observation techniques.
. Gravitation, tidal forces. Many body problem.
. Planet atmospheres (composition, ...) and magnetic fields.Milankovitch theory of climate change.
. Birth,, life, and death of stars. Hertzsprung-Russel diagram. Supernovae, pulsars, black holes.
. Introduction to cosmology : large-scale structures, CMB, expansion ; Overview of the Big Bang theory.
LP383 :Theoretical Physics
-L3 level course-
. Introduction to the variational principle ; principle of least action ; Noether theorem.
. Introduction to differential geometry (differentiable manifolds, coordinate systems, vectors and tensors ; t metrics and covariant derivatives, curvature in coordinate and non-coordinate bases).
. Langrange and Hamilton equations.
. Introduction to Group Theory
. Introduction to non-linear systems.
LA202 : Fluid and Thermal Mechanics
. Fluid statics : pressure, buoyancy, fundamental law of fluid statics, hydrostatic.
. Fluid kinematics : Lagrangian and Eulerian formulation of fluids dynamics, convective derivative, ideal fluid flow, rotational flow.
. Fluid dynamics : Euler equation, Bernoulli theorem and its applications, viscosity.
. Thermal Physics : Heat transfer, Fourier's law.
LP208 : Introduction to Computational Physics
. Introduction to C, numerical treatment of problems in physics.
. Introduction to GnuPlot (visualize mathematical functions/datas).
LP201 : Waves
. Mathematical description of waves - harmonic oscillator.
. Vibrating string, normal modes.
. Acoustic waves. Spherical waves.
. Energy transport by waves
Interference. Diffraction.
LP202 : Thermodynamique
. Perfect gas, temperature, kinetic pressure.
. Internal energy. 1st law and its applications to reversible and irreversible transformations.
. van der Waals gas, statistical entropy.
.Second law and its conscequences.
. Phase transitions (ideal).
LP203 : Electric and Magnetic field ; Induction
. Coulomb's law, electric field, Gauss theorem, symmetry. Electrostatic energy.
. Divergence theorem. Stokes' theorem.
. Conductors and capacitors.
. Current density, magnetic field, Biot-Savart law, Ampere's theorem, symmetry.