This note explains the
following topics: Distribution Law, Indistinguishable Particles, Statistical
Mechanics and Thermodynamic Laws, Applications of Maxwell-Boltzmann Statistics,
Paramagnetic Systems, Applications of Fermi-Dirac Statistics, Applications of
Bose-Einstein Statistics, The Classical Limit, Kinetic Theory of Gases.
This note describes the following topics: Basic Statistical
Notions, Time-evolving ensembles, Equilibrium Ensembles, The Ideal Quantum Gas,
The Laws of Thermodynamics, Dynamical Systems and Approach to Equilibrium.
Statistical
mechanics provides a theoretical bridge that takes you from the micro world to
the macro world. Topics covered includes: Micro-Macro Synthesis, Maxwell’s
Mischief, Binomial, Poisson, and Gaussian, Isolated System: Micro canonical
Ensemble, Closed System, Open System, Quantum Statistics, Bose-Einstein
Condensation, Statistical Mechanics of Harmonic Oscillators.
This note describes the
following topics: Thermodynamics, Summary of probability theory,
Equilibrium statistical mechanics, Ideal gases, Interacting systems and phase
transitions, Density matrix and áuctuation dissipation theorem, Brownian motion
and stochastic dynamics, Boltzmann transport equation.
This book
explains the following topics: General Notions, The Principle Of Conservation Of
Extension-in-phase, Thermodynamic Analogies, Application Of the Principle Of
Conservation Of Extension-in-phase To The Theory Of Errors, Average Values in A
Canonical Ensemble Of Systems, Extension-in-configuration and
Extension-in-velocity.