ECP
Stanford University


Physics

Quantum Physics

Prof. Dominique Hirondel (Year 1 ñ Lectures: 13.5 hours; Required Sections: 13.5 hours)

 

Historical development. Experimental basis. Analytical mechanics.

Principles, postulates, formalism, and interpretation.

One-dimensional problems: potential well, barriers, harmonic oscillator.

First integrals, angular momentum, spherical harmonics, spherically-symmetric potential, the hydrogen atom.

Tunneling. Perturbations.

Coupling of a system with an electromagnetic wave.

Introduction to spin and spinors: systems of identical particles; quantum statistics.

Physical applications (lasers, etc.).

Statistical Physics

Profs. Jean Taine and Pascal Bernaud

(Year 1 ñ Lectures: 13.5 hours; Required Sections: 13.5 hours)

 

Phase space and state space. Liouville equation. Micro canonical, canonical, and grand canonical ensembles. Applications.

Bose-Eisntein and Fermi-Dirac statistics. Semi-classical statistics. Applications.

Fundamental principles of thermodynamics. Maxwell-Boltzmann statistics and applications.

The Boltzmann equation for elastic collisions. Local Thermodynamic Equilibrium. Approximate solutions.

Transport phenomena (conductivity, viscosity, etc.).

Equilibrium radiation and radiative Flux. Intensity. Einstein coefficients.

 

Thermodynamics

Prof. Yves Vandenboomgaerde (Year 1 ñ Lectures: 12 hours; Required Sections: 12 hours)

 

Microscopic and Macroscopic States of Matter. Characterization of phases and species. Equations of states, diagrams. Reactions and phase transitions.

Principles. Conservation equations. Energy, entropy, free energy.

Machines. Mechanical, thermal, electrical, and chemical engineering aspects of industrial plants.

 

Physics of Matter

Prof. Bernard Jouffrey

(Year 2 ñ Lectures: 15 hours; Required Sections: 15 hours)

 

Atomic Structure of materials. Crystals, amorphous materials, quasi-crystals. Direct Lattice. Reciprocal lattice. Electron matter interactions. Diffraction (X-rays, electrons, and neutrons). Lattice waves. Heat capacity (Einstein and Debye models). Phonons.

Electronic properties of solids Drude and Sommerfeld theories of metals, transport properties. Band structure of metals, semiconductors, and insulators. Electronic heat capacity in metals. Thermal conductivity. Wiedemann-Franz law. The chemical bond. Thermoelectronic emission. Interfaces. Semiconductors, p-n junction. Applications of junctions. Superconductivity.

Defects in solids. Point, linear, plane, and volume defects in crystals.

Electromagnetism

Prof. Jean-Jacques Greffet

(Year 2 ñ Lectures: 10 hours; Required Sections: 10 hours)

 

Radiation, Scattering, and Diffraction. Retarded potentials, electric dipole fields, linear antennas. Scalar ñdiffraction theory, Kirchhoff and Sommerfeld approach. Angular Spectrum.

Electromagnetism in Matter. Derivation of the macroscopic Maxwell equations in matter. Plane electromagnetic waves and wave propagation in macroscopic media.

Reflection and Refraction.

Waveguides. Rectangular metallic waveguides, planar dielectric waveguides.

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