Graduate and advanced undergraduate instruction in theoretical physics.
Courses emphasize physical intuition, structural clarity, and foundational principles underlying modern theoretical physics. The focus is on conceptual compression, creativity, and laws with wide explanatory power.
`Education is not the filling of a pail, but the lighting of a fire.'
Core Courses Taught:
Statistical Mechanics
Quantum Mechanics
General Relativity
Classical Electrodynamics
Classical Mechanics
Thermodynamics & Statistical Physics
Advanced Mathematical Physics
Astronomy
Classical mechanics lectures:
Elements:
• Bridgman’s and Buckingham Pi theorems
• Galilean group, Newtonian Perspective
• Strategies
Newton's Laws (inertial):
• Statics, Equal Forces, Torque Equilibrium
• Using F=ma, Review of Dimensional Decomposition
• Gravity and electromagnetism force symmetry
Newton's Laws (non-inertial):
• Non-inertial frames, Coriolis, Euler, and Centrifugal
• Rotating Frame Effects on Earth: plumb lines and tower balls
• Foucault Pendulum and Larmor Precession
Oscillations (principles):
• Universality, Linearity, Decoupling
• Isochrony, Phase Space, Adiabatic Invariance
• Resonance as Poles, Stability and Symmetry Breaking, Spring Theory
• Oscillator Ladder, Oscillation Excitations, Occupation of a Single Oscillator
Oscillations (applications):
• Small Oscillations and Stability in 1D
• Many Degrees of Freedom, Matrix Method, Decoupling
• Small Oscillations of the Double Pendulum
• Normal Modes of the Linear Triatomic Molecule
General relativity lectures:
• Euclid, Galileo, Newton, Kepler, Maxwell
•Lorentz and Poincaré
• Boost charge and the massless photon
• Relativistic mechanics, collisions, GZK, action, stress tensor
• Celerity, cone coordinates, proper(-ty) acceleration, and rapidity
• Covariant electromagnetism
• Electromagnetic field as gauge curvature
Statistical mechanics notebooks:
Elements:
• 2nd Law Typicality
• Liouville Theorem
• Euler-Maclaurin Bridge
• Poincaré Recurrence
• Ergodicity Hypothesis
• Boltzmann H-theorem
• Fluctuation-Dissipation
• Random Walk
• Heat Equation (Schrodinger-Wick)
• Brownian Motion
• Carathéodory Inaccessibility
• Carnot Efficiency
• Kelvin-Clausius Equivalence
• Microscopic First Law
• Maxwell Relations
Classical:
• Two-Level System (Microcanonical)
• Two-Level System (Canonical)
• Einstein Solid
• Dulong-Petit Law
• Dirichlet Gases
• Ideal Gas (Canonical)
• Ideal Gas (Microcanonical)
• Ideal Gas (Grand Canonical)
• Sackur–Tetrode Equation
• Maxwell Distribution
• Bernoulli Pressure
• Van der Waals Equation
• Heisenberg Chain (classical)
• Debye–Hückel Screening
• Diatomic Gas
• Diatomic Staircase
• Degrees of Freedom
Quantum:
• Photon Gas
• Stefan–Boltzmann Law
• Wien Displacement
• Planck Radiation (1D)
• Johnson-Nyquist Noise
• Phonon Gas
• Bose Gas (weak quantum statistics)
• Fermi Gas (weak quantum statistics)
• BEC (pressure)
• Fermi Gas (pressure)
• Fermi Gas (heat capacity)
• Curie's Law
• Pauli Paramagnetism
• Bohr-von Leeuwen Theorem
• Landau Levels
• Landau Diamagnetism
Criticality:
• Van der Waals Isotherms
• Van der Waals Universality
• Clausius-Clapeyron Equation
• BEC (heat capacity)
• Lee-Yang Zeros
• Ising Chain (classical)
• Ising Model 1D
• Ising Model 2D
• Kramers-Wannier Duality
• Peierls Droplets
Gravity:
• Chandrasekhar Limit
• Jeans Instability
• Tolman-Ehrenfest Effect
• Bekenstein-Hawking Entropy
• Equipartition and Black Hole Entropy
• t'Hooft Brick Wall
• Barometric Formula (Ideal Gas in a Gravitational Field)
• Graviton Gas (& Planckian gravitons)
• Jacobson Einstein Equation of State
• Verlinde Entropic Gravity
Courses Taught at Nazarbayev University by MG:
Courses_Taught_at_Nazarbayev_University_by_Michael_Good.pdf
Influence via Academic Tree:
Influence_via_Academic_Tree.pdf
Student Projects: