title – semester

Tutorial 1

September 25, 2014 Lea Krämer

• Time evolution and Master equation: generalized derivation of the detailed balance condition
• Stirling formula and its application to
  - give an interpretation of the H function
  - approximate the number of realizations close to the fixed point distribution: 2-state and z-state system

Notes (Lea Krämer)

Tutorial 2

October 2, 2014 Roman Süsstrunk

• From the microcanonical ensemble to the thermodynamic entropy
• Equivalence of the microcanonical and canonical ensembles

Notes (Roman Süsstrunk)

Tutorial 3

October 9, 2014 Philipp Kammerlander

• Equivalence of definitions of entropy in different ensembles
• Introduction to the density matrix, which is central to formulating quantum statistical physics

Notes (Philipp Kammerlander)

Tutorial 4

October 16, 2014 Romain Müller

• Quantum harmonic oscillators in the microcanonical ensemble
• Saddle point approximation

Notes (Romain Müller)

Tutorial 5

October 23, 2014 Lea Krämer

• microcanonical versus grand canonical treatment of ideal quantum gases
• equations of state: a quick look at equipartition
• remarks on "correct counting" - classical partition function for Bosons & Fermions at high temperature

Notes (Lea Krämer)

Tutorial 6

October 30, 2014 Romain Müller

• The Bose-Einstein condensate

Notes (Romain Müller)

Tutorial 7

November 6 / 10, 2014 Lea Krämer

• Second Quantization: calculating thermal averages and particle number fluctuations for ideal quantum particles

Notes (Lea Krämer)

Tutorial 8

November 13 / 17, 2014 Romain Müller

• The Bose-Einstein condensate in second quantization
• Bogoliubov approximation and coherent states

Tutorial 9

November 20 / 24, 2014 Lea Krämer

• Ising model - transfer matrix method

Notes (Lea Krämer)

Tutorial 10

November 27 / December 1st, 2014 Romain Mülller

• Mean field approximation
• Stoner model and Stoner criterion for ferromagnetism

Notes (Romain Müller)

Tutorial 12

December 11, 2014 Romain Mülller

• Landau criterion for superfluidity
• Bogoliubov theory of a weakly interacting Bose gas

Notes (Romain Müller)