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Academic Background

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.

. Potential formulation, electromagnetic induction, electromagnetic force.

 

LP206 - LP207 - LM256 : Mathematics

Under construction

See preview here

--- Licence 1 : 60 ECTS ---

LM151 : Calculus

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LM120 : Linear Algebra

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LP103 : Optics and Electronics

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LP102 : Basic Physics II

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LM110 : Calculus

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LC101 : Introduction to Chemistry

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LA101 : Introduction to engineering physics

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LP101 : Basic Physics I

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