1 Some Basics of classical Thermodynamics
1.1 Introduction
1.2 Zero’s Axiom of Thermodynamics
1.3 First Axiom of Thermodynamics
1.4 Second Axiom of Thermodynamics: Irreversible Processes exist
1.5 The inverse temperature as an integrating factor
1.6 What is a Potential
1.7 Motivation for subsequent sections
1.8 Thermodynamic Contacts: The isolated system
1.9 Thermodynamic Contacts: A system in thermal equilibrium
1.10 Thermodynamic Contacts: Temperature and pressure are defined by the surrounding area
1.11 Thermodynamic Contacts: Examples for other contacts
1.12 Systematic description of a thermodynamic system
1.13 The free energy as an example for a thermodynamic potential
1.14 The transformation of thermodynamic potentials
1.15 The Legendre-Transformation in 1D
1.16 From the free energy to the inner energy
1.17 Calculation of the free energy of an ideal gas
2 Statistical Mechanics
2.1 The aim of statistical mechanics
2.2 The microcanonical, canonical, and the grandcanonical ensemble
2.3 Calculation of the canonical ensemble
2.4 Calculation of the microcanonical ensemble
2.5 Calculation of the grand canonical ensemble
2.6 First results from the calculation of the state sum
2.7 Small summary
2.8 The classical and quantum mechanical phase volume
2.9 The classical ideal gas
3 Specific Heat Capacity
3.1 Definition
3.2 Calculation of the inner energy
3.3 The equipartition law of classical thermodynamics
3.4 Specific heat capacitance of phonons (Bosons)
3.5 Simple approximations for lattice vibrations
3.6 Quantum mechanical description of lattice vibrations
3.7 The Debye Model
3.8 The Einstein Model
3.9 Specific heat capacity of the free electron gas (Fermions)
4 Description of non equilibrium
4.1 Einstein’s interpretation of the Bose statistics
4.2 Essentials for the amplification of electromagnetic radiation
4.3 From amplifier to oscillator
4.4 The semiconductor LASER
4.5 The injection LASER
4.6 Guided tour through synergy
5 The Boltzmann equation
5.1 Derivation of the Boltzmann equation
5.2 The relaxation time approximation in the Boltzmann equation
5.3 Particle and energy current
5.4 Current flow through a non degenerated semiconductor
5.5 Electrical current flow
5.6 Diffusion
5.7 The pn-junction
5.8 Bibliography: