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.

News: posts on Scholar

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

3
Quantum
0 articles

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.

3
Classical
0 articles

Exploration of the role of symmetry in physics. Covering topics from the principle of stationary action, Lagrangians, Hamiltonians and Noether's theorem.

3
Probability
5 articles

Exploration of the role of probability in various areas of physics

2
Classical
12 articles

The physics and mathematics of rotating systems.

2
Classical
11 articles

The classical theory for oscillations and waves at a second year university level.

2
Rotation Dynamics

In a rotating coordinate system, a free particle moves in a way that appears to be affected by three forces: the centrifugal force, the Coriolis force and the Euler force. These forces arise only from the rotation of the coordinate system.

1
Rotation Dynamics

The description of 2D rotational motion is further developed in analogue to linear dynamics by introducing the rotational equivalents of force, momentum and mass.

1
Rotation Dynamics

The description of 2D rotational motion is developed in analogue to linear kinematics.

1
Linear Motion

A simple review of the notation and some of the expressions for kinematics and dynamics along a line, for classical physics.

1
Linear Motion

The centre of mass of a system of particles is derived as a fictitious point that behaves as if the mass of the entire system where concentrated there. Tricks for finding it are discussed.

2
Oscillators

The map of phase space of a dynamical system is a really convenient way of summarising the behaviour of a system. In particular it doesn't require a solution to the equations of motion.

2
Coupled Oscillators

The loaded string is a classic problem of coupled oscillators where \(N\) small masses are threaded onto a light string. It makes a nice transition for considering the continuum case and waves.

2
Coupled Oscillators
Waves

The continuum limit of the loaded string is derived, arriving at the one dimensional wave equation.

2
Coupled Oscillators

Coupling together two or more oscillators introduces a whole new level of complexity. It turns out that there is a particular way of looking at the system that makes it simple to solve the motion.

2
Oscillators

When an oscillator is driven at just the right frequency it hits resonance and absorbs energy from the driving. The details of resonance for a driven and damped harmonic oscillator are explored.