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1. define the various fields in electrostatics, magnetostatics and electrodynamics, and to understand how they are related;
2. explain propagation of electromagnetic waves in various environments;
3. apply Maxwell's Equations to selected problems;
4. show an understanding of wave mechanics in three dimensions;
5. describe the structure of the hydrogen atom and show an understanding of quantisation of angular momentum;
6. apply techniques such as Fourier methods and ladder operators for selected problems in quantum mechanics;
7. explain statistical physics and thermodynamics as logical consequences of the postulates of statistical mechanics;
8. apply the principles of statistical mechanics to selected problems;
9. apply techniques from statistical mechanics to a range of situations;
10. use the tools, methodologies, language and conventions of physics to test and communicate ideas and explanation.

Griffiths, D.J. (2000): Introduction to Electrodynamics, 2nd, 3rd or 4th ed. ( or )

Griffiths, D. J. (2005) Introduction to Quantum Mechanics 2nd ed. (Pearson Prentice Hall)  

Mandl, F. (1998): Statistical Physics, 2nd edition, Wiley

Gasiorowicz, S. (2003) Quantum Physics 3rd ed. (Wiley),
 

Bransden, B. H., and Joachain, C. J. (2000) Quantum Mechanics 2nd ed., (Pearson)
 Register free MIT “Touchstone” account, subject 8.05

Reif, F. (1965): Fundamentals of Statistical and thermal Physics, McGraw-Hill

MyUni: Teaching materials and course documentation will be posted on the MyUni website ().

This course is delivered by the following means:

• 6 Lectures of 1 hour each per week
• 2 Workshops of 1 hour per week

A student enrolled in a 6 unit course, such as this, should expect to spend, on average 24 hours per week on the studies required. This includes both the formal contact time required to the course (e.g., lectures and practicals), as well as non-contact time (e.g., reading and revision).

The course content will include the following:

Coursework Content

ELECTROMAGNETISM

• Electrostatics in vacuum (revision)
  • Continuous charge distributions
  • Gauss' law & Curl(E)
  • Electric potential & Conservative fields
• Special solutions in electrostatics
  • Poisson's and Laplace's equations
  • Methods of relaxation & image charges
• Magnetostatics in vacuum
  • Div(B) & Curl(B) (revision)
  • Vector potential
• Time varying fields
  • Flux rule and motional emf
  • displacement current
• Maxwell's equations in vacuum
• Electrostatics in matter
  • Electrostatic field energy
  • Displacement field and polarisation
  • Polarisation-gradient forces (Optical tweezers)
• Magnetostatics in matter
  • H-field, magnetisation
  • Magnetic energy
• Multipole expansion of potentials
• Poynting's theorem
• Maxwell's equations in matter
  • Electromagnetic boundary conditions
• The wave equation
  • Free space solution in vacuum
  • Waveguides & transmission lines
  • EM waves in conducting media
• Reflection at dielectric and conducting boundaries
• The Lorentz electron oscillator and dispersion

QUANTUM MECHANICS

• Level II Upgrade
  • Wave vector, operators, expectation values, Schrödinger equation, separation of space and time variables, all done in three dimensions.
• Fourier Methods
  • Fourier series for infinite square well, coefficients as overlap integrals, Fourier integral and inverse as limiting case, Parseval and convolution properties, Dirac delta function, extension to three dimensions.
  • Quantum mechanics in momentum space: operators and Schrödinger equation, invariance of overlap integrals, wave-packet (group) velocity .
• Formal Developments
  • Differential operators: Hermitian adjoint, orthonormal eigenfunctions, Gram-Schmidt method for degenerate eigenvalues.
  • Compatible observations, simultaneous eigenstates, 3-D square well (example).
  • Vector space of wave functions, completeness, analogy with spanning a finite space, overlap amplitude as inner product (飦�,飦�), matrix representation, orthonormality for continuous eigenvalues.
• Harmonic Oscillator
  • Ladder operators, energy eigenfunctions, expectation values via algebraic methods.
  • Series solution (Frobenius) of 2nd order equation.
  • Extension to three dimensions.
  • Sudden approximation.
• Central Potentials and Angular Momentum
  • Reduced mass, CM frame, orbital L in sphericals, connection between L2 and K.E.
  • Quantisation of L, ladder operators, eigenvalues and eigenstates.
  • Laplacian in sphericals, separation of r and 飦�,飦� variables, radial equation with centrifugal barrier, separation of 飦� and 飦� with 飦� = integer, spherical harmonics, parity.
  • H-atom bound states: solution of radial equation (Frobenius), principal quantum number n, simultaneous eigenstates with degeneracy 2n2, structure of periodic table.
  • Spin angular momentum S, polarisations under rotations, total angular momentum; particle spin (examples); Stern-Gerlach experiment, sequential S-G experiments; spinors, Pauli matrices; level-splitting effects in H spectrum (qualitative).

STATISTICAL MECHANICS

• The First Law of Thermodynamics
  • Concepts of thermal physics
  • First law of thermodynamics
  • Heat capacities
• The Second Law of Thermodynamics
  • Direction of natural processes
  • The statistical weight of a macrostate
  • Fundamental postulates of statistical mechanics
  • Derivation of concepts of T and P
  • The Schottky defect
  • Equilibrium of a system in a heat bath
• Paramagnetism
  • Paramagnetic solid in a heat bath
  • Isolated paramagnetic solid
• Infinitesimal changes and the Second Law
  • The Fundamental Thermodynamic Relation and Maxwell’s First Relation
  • The Clausius inequality and availability
  • Helmholtz free energy
  • Gibbs free energy
  • Enthalpy
  • Useful work
  • The third law and its consequences
• Simple thermodynamic systems
  • Other forms of the second law
  • Heat engines and refrigerators
  • The difference of heat capacity
  • Applications to irreversible processes
  • Heat capacity of solids
  • Examples of low temperature behaviour
  • Einstein’s model for heat capacity of solids
• The Ideal Classical Gas
  • Ideal classical gas
  • The partition function
  • Validity criteria for classical regime
  • Characterizing the ideal classical gas
  • The Maxwell velocity distribution
  • Classical statistical mechanics
• Quantum statistics
  • The Ideal quantum gas
  • The Gibbs distribution
  • Fermi-Dirac and Bose-Einstein distributions
  • The classical limit
  • The free electron model of metals
  • Electronic heat capacity of metals
• Systems with variable particle numbers
  
  • Bose-Einstein Condensation
  • Thermodynamics of the Gibbs distribution
• Diffusion and Random Walk Processes
  • Description of Particle transport theory via diffusion processes

For Statistical Mechanics, prior to each lecture, students are expected to read the lecture notes and answer some online questions. Each lecture will then be built around responses to the online results and feedback.

To obtain a grade of Pass or better in one of these courses, a student must achieve a result of 50% or better in at least 2 of the 3 topics (Electromagnetism, Quantum Mechanics or Statistical Mechanics).

Students who attain a final course grade of at between 45% and 49% will be offered an Additional Academic Exam(s) during the Replacement/Additional Assessment period, in line with the Modified Arrangements for Coursework Assessment Policy.   

Students who attain a final course grade of at least 45% but have not passed at least 2 of the 3 topics will be offered an Additional Academic Exams in any of the topics they have not passed.

Depending on which topics they have failed students may be offered multiple exams.

Assignments, Tests and online responses
The mix of assignments and tests will be decided at the start of the semester by negotiation with students. A combination of on-line responses, tests and summative assignments will be used during the semester to address understanding of and ability to use the course material and to provide students a benchmark for the progress in the course (40% of total course grade).

Examination
Three 2-hour exams will be used to assess knowledge and understanding of and ability to use the material (60% of total course grade).

Poor performance in assignments and tests can be partially compensated by a higher weighting of the examination in the final assessment. Online responses to questions in the Statistical Mechanics component will contribute 2% of the final result.

Submission of Assigned Work
Coversheets must be completed and attached to all submitted work. Coversheets can be obtained from the School Office (room G33 Physics) or from MyUNI. Work should be submitted via the assignment drop box at the School Office.

Extensions for Assessment Tasks
Extensions of deadlines for assessment tasks may be allowed for reasonable causes. Such situations would include compassionate and medical grounds of the severity that would justify the awarding of a replacement examination. Evidence for the grounds must be provided when an extension is requested. Students are required to apply for an extension to the Course Coordinator before the assessment task is due. Extensions will not be provided on the grounds of poor prioritising of time. 

Late submission of assessments
If an extension is not applied for, or not granted then a penalty for late submission will apply. A penalty of 10% of the value of the assignment for each calendar day that is late (i.e. weekends count as 2 days), up to a maximum of 50% of the available marks will be applied. This means that an assignment that is 5 days or more late without an approved extension can only receive a maximum of 50% of the mark.