Course

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

Photo of Oleg Sushkov
ARC Australian Professorial Fellow

Oleg Sushkov

Photo of Michael Kuchiev
Associate Professor

Michael Kuchiev

Photo of Clemens Ulrich
Associate Professor

Clemens Ulrich

photo of Sven Rogge
Scientia Professor and Head of School

Sven Rogge