Scholar

Welcome to Scholar. This is an experiment in putting lecture notes online. It's a work in progress and material is being added and improved all the time.

I teach or have taught a variety of courses in physics including classical physics, advanced quantum theory, and advanced physics units on probability and symmetry in physics

News: posts on Scholar

Threads

Threads weave a path through the collection of articles. They correspond to a course or part of a course.

  • Exploration of the role of probability in various areas of physics
  • Quantum Theory 3 Quantum some time ago
    A course on quantum theory, concentrating on the structure of quantum mechanics as a basis of physical theory rather than the quantum physics of particular systems. We take a Hilbert space approach.
  • Exploration of the role of symmetry in physics. Covering topics from the principle of stationary action, Lagrangians, Hamiltonians and Noether’s theorem.
  • The physics and mathematics of rotating systems.
  • The classical theory for oscillations and waves at a second year university level.

Recently updated articles

  • How do you assign actual values to probabilities?
  • Another of the key tasks of inference is to determine the value of a parameter in a model on the basis of observed data
  • Model comparison is one of the principal tasks on inference. Given some data, how does the plausibility of different models change? Does the data select out a particular model as being better?
  • In this workshop, we’ll introduce and examine the consequences of probability theory in various areas of physics. From the meaning of probabilities, to how to reason with incomplete information, model comparison, and parameter estimation. The approach will view probabilities as an extension of logic (i.e. following Laplace, Bernoulli, Cox, Jaynes, etc)
  • In this workshop, we’ll introduce and examine the consequences of probability theory in various areas of physics. From the meaning of probabilities, to how to reason with incomplete information, model comparison, parameter estimation, and modelling with Bayesian networks. The approach will view probabilities as an extension of logic (i.e. following Laplace, Bernoulli, Cox, Jaynes, etc)
  • In this workshop, we’ll introduce and examine the consequences of probability theory in various areas of physics. From the meaning of probabilities, to how to reason with incomplete information, model comparison, parameter estimation, and modelling with Bayesian networks. The approach will view probabilities as an extension of logic (i.e. following Laplace, Bernoulli, Cox, Jaynes, etc)
  • Given that we are interpreting probability as a measure of plausibility, just what is the relationship of probabilities to frequencies?
  • Find the probability distribution that maximises the entropy subject to requiring some averages to be fixed.
  • Some consequences of the product rule are explored including the famous Bayes’ rule.
  • In this workshop we’ll introduce and examine the consequences of probability theory in various areas of physics. From the meaning of probabilities, to how to reason with incomplete information, model comparison, parameter estimation, and modelling with Bayesian networks. The approach will view probabilities as an extension of logic (i.e. following Laplace, Bernoulli, Cox, Jaynes, etc)
© Copyright 2021 Alexei Gilchrist