## PHYS4013 Physics Honours Coursework A

## Lecturer(s):

**Quantum Mechanics**

Prof Oleg Sushkov (weeks 1-4)

A/Prof Michael Kuchiev (weeks 5-8)

**Electromagnetism and the Standard Model**

A/Prof Michael Kuchiev

**Solid State Physics**

A/Prof Clemens Ulrich (weeks 1-4)

Prof Sven Rogge (weeks 5-8)

## Course Description :

Advanced topics in quantum mechanics; electromagnetism and the standard model; and solid state physics

**Quantum Mechanics**

Selected topics of advanced Quantum Mechanics. Currently it includes

Identical particles, fermions and bosons.

Born-Oppenheimer approximation for molecules and solids.

Classification of electronic states of diatomic molecules.

Charged particle in magnetic field. Landau levels.

Heisenberg formulation of Quantum Mechanics. Creation/annihilation operators for harmonic oscillator

Relativistic equations: Klein-Gordon equation, Dirac equation.

Scattering Theory: Scattering amplitude, Born approximation, Low-energy scattering, scattering phases, resonance scattering.**Solid State Physics**

Band Theory: Electrons in periodic solids; nearly-free-electron approximation; tight-binding method, s-electrons in cubic lattices; Density Functional approaches.

Electron Dynamics: The Fermi surface; effective mass; energy levels and orbits in a magnetic field; cyclotron resonance; de Haas-van Alphen effect; examples from real materials.

Fundamentals of Magnetism: Origins of magnetism, Hund's rules; exchange interaction, diamagnetism, paramagnetism, Curie law, molecular field, Curie-Weiss law

Magnetic Structures: Magnetic ordering, ferromagnetism and antiferromagnetism; anisotropy, domains, neutron scattering determination of magnetic

structures.**Electromagnetism and the Standard Model**

Electrodynamics: Relativistic notation, 4-vectors,

Vector potential, tensor of EM field,

Gauge invariance,

Action of a particle in an EM field and action of an EM field,

Lagrangian

Equations of motion – Maxwell’s equations, and equation for a charged particle (Examples: electron in static electric or/and magnetic fields, electron in an electromagnetic wave).

Liénard - Wiechert retarded potentials and fields,

Radiation from an accelerated particle: synchrotron radiation, spectrum, polarization and angular distribution; dipole radiation

Scattering of EM waves: long-wave limit and short wave limit

Dirac monopoles, quantization condition, dyons

## Semester(s) Offered:

Semester 1 only