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Quantum and statistical physics


At the end of this module, the student will have understood and be able to explain (main concepts) :
1) Fundamentals concerning Observables and their Measurement
2) The temporal evolution of a quantum system. Plane waves and wave packets
3) Theory of the harmonic oscillator
4) Theory of Angular momentum and applications
5) The fundamental principles of statistical physics (entropy)
6) Micro-canonical distribution, temperature, partition function and U, S functions.
7) Canonical and grand canonical distribution.
8) Fermi-Dirac and Bose-Einstein distributions
The student will be able to:
1) Solve the Schrödinger equation (eigenvalues and eigenstates) using matrix
2) Apply postulates concerning Observables and their Measurement
3) Calculate the temporal evolution of a quantum state
4) Manipulate operators for the harmonic oscillator and angular momentum
5) Calculate the equilibrium properties of simple closed and open systems.
6) Use the Fermi-Dirac or Bose-Einstein distribution in solid state physics.

Needed prerequisite

Matrix Calculations (eigenvalues, eigenstates, diagonalization,), second order differential equations, Integral calculations. Basics on quantum mechanics in the wave-function formalism.
Probability and statistical mathematics.

Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...