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Newton's laws of motion

Classical mechanics background

Energy conservation law

Overview of the course

Hamiltonian mechanics

What about statistical physics

Section summary

Section intro

Probability & Tree diagrams for coin flip experiments

Event & Counter event in a dice experiment

Expectation values for coin, dice & urn problems

Calculating probabilities Urn problems

Binomial distribution

Discussion of the binomial distribution

Normal distribution (Gaussian distribution)

Poisson distribution

Section outro

[Solution] Task 1 - Probabilities

[Solution] Task 2 - Probabilities

[Solution] Task 3 - Probabilities

Microstates versus macrostates

Example Statistical treatment of the harmonic oscillator

Canonical ensemble

Microcanonical ensemble

Probability of the canonical ensemble

Partition function

Example Kinetic energy of a gas - Definition of the temperature

Example Kinetic energy of a gas - Maxwell velocity distribution

[Solution] Potential energy of a gas - Barometric formula

Equivalence of canonical and microcanonical ensemble in the thermodynamic limit

Summary Canonical and microcanonical ensembles

Section outro

Quantum statistics example Quantum harmonic oscillator

Optional Liouville equation

First law of thermodynamics

Thermodynamic Work

Second law of thermodynamics

Pressure

Entropy

Third law of thermodynamics

[Exercise] Entropy of a die

[Solution] Entropy of a die

Entropy of a black hole

Internal energy U as a thermodynamic potential

Enthalpy H

Helmholtz free energy F

Gibbs free energy G

Maxwell relations

Section summary Thermodynamic square

Ideal gas

Thermodynamic processes

Heat capacity

Isentropic processes

Compressibility

Thermal expansion

Efficiency of thermodynamic cycles

Application Thermodynamic cycles

Carnot cycle

Real gas

Section outro