PHYSICS 3542  Physics III
North Terrace Campus  Semester 1  2018

General Course Information
Course Details
Course Code PHYSICS 3542 Course Physics III Coordinating Unit School of Physical Sciences Term Semester 1 Level Undergraduate Location/s North Terrace Campus Units 6 Contact Up to 9 hours per week Available for Study Abroad and Exchange Y Prerequisites PHYSICS 2510, PHYSICS 2534, MATHS 2102 or MATHS 2201, MATHS 2101 or MATHS 2202 Incompatible PHYSICS 3001, PHYSICS 3018, PHYSICS 3004 & PHYSICS 3009 Assumed Knowledge PHYSICS 2532 Course Description This course develops concepts in electromagnetism, quantum mechanics and statistical mechanics such that the behaviour of the physical universe can be understood from a fundamental point of view.
Electromagnetism  electric field and scalar potential, magnetic field and vector potential, Maxwell's equations, electromagnetic boundary conditions, electromagnetic wave equation, waveguides, energy in electromagnetism. Electromagnetic wave propagation in vacuum, conducting and dielectric media, and at interfaces.
Quantum mechanics  review of the Schrodinger equation, operators, eigenfunctions, compatible observables, infinite well in one and three dimensions, degeneracy; Fourier methods and momentum space; Hermiticity; scalar products of wave functions, completeness relations, matrix mechanics; harmonic oscillator in one and three dimensions; sudden approximation; central potentials, quantisation of angular momentum, separation of radial and angular variables, spherical harmonics, hydrogen atom, spin.
Statistical mechanics  classical laws of thermodynamics and their application, postulates of statistical mechanics, statistical interpretation of thermodynamics, microcanonical, canonical and grand canonical ensembles; the methods of statistical mechanics are used to develop the statistics for BoseEinstein, FermiDirac and photon gases; selected topics from low temperature physics and electrical and thermal properties of matter are discussed.Course Staff
Course Coordinator: Professor Gavin Rowell
Course Timetable
The full timetable of all activities for this course can be accessed from Course Planner.

Learning Outcomes
Course Learning Outcomes
 define the various fields in electrostatics, magnetostatics and electrodynamics, and to understand how they are related;
 explain propagation of electromagnetic waves in various environments;
 apply Maxwell's Equations to selected problems;
 show an understanding of wave mechanics in three dimensions;
 describe the structure of the hydrogen atom and show an understanding of quantisation of angular momentum;
 apply techniques such as Fourier methods and ladder operators for selected problems in quantum mechanics;
 explain statistical physics and thermodynamics as logical consequences of the postulates of statistical mechanics;
 apply the principles of statistical mechanics to selected problems;
 apply techniques from statistical mechanics to a range of situations;
 use the tools, methodologies, language and conventions of physics to test and communicate ideas and explanation.
University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s) Deep discipline knowledge
 informed and infused by cutting edge research, scaffolded throughout their program of studies
 acquired from personal interaction with research active educators, from year 1
 accredited or validated against national or international standards (for relevant programs)
110 Critical thinking and problem solving
 steeped in research methods and rigor
 based on empirical evidence and the scientific approach to knowledge development
 demonstrated through appropriate and relevant assessment
110 Teamwork and communication skills
 developed from, with, and via the SGDE
 honed through assessment and practice throughout the program of studies
 encouraged and valued in all aspects of learning
110 Career and leadership readiness
 technology savvy
 professional and, where relevant, fully accredited
 forward thinking and well informed
 tested and validated by work based experiences
1,10 Intercultural and ethical competency
 adept at operating in other cultures
 comfortable with different nationalities and social contexts
 Able to determine and contribute to desirable social outcomes
 demonstrated by study abroad or with an understanding of indigenous knowledges
1,10 Selfawareness and emotional intelligence
 a capacity for selfreflection and a willingness to engage in selfappraisal
 open to objective and constructive feedback from supervisors and peers
 able to negotiate difficult social situations, defuse conflict and engage positively in purposeful debate
1,10 
Learning Resources
Required Resources
Griffiths, D.J. (2000): Introduction to Electrodynamics, 2nd, 3rd or 4th ed. (http://www.AbeBooks.com or http://www.alibris.com/)
Griffiths, D. J. (2005) Introduction to Quantum Mechanics 2nd ed. (Pearson Prentice Hall) http://academic.reed.edu/physics/faculty/griffiths.html
Mandl, F. (1998): Statistical Physics, 2nd edition, Wiley
Recommended Resources
Gasiorowicz, S. (2003) Quantum Physics 3rd ed. (Wiley),
http://www.wiley.com/college/gasiorowiczBransden, B. H., and Joachain, C. J. (2000) Quantum Mechanics 2nd ed., (Pearson)
http://stellar.mit.edu/ Register free MIT “Touchstone” account, subject 8.05Reif, F. (1965): Fundamentals of Statistical and thermal Physics, McGrawHill
Online Learning
MyUni: Teaching materials and course documentation will be posted on the MyUni website (http://myuni.adelaide.edu.au/).

Learning & Teaching Activities
Learning & Teaching Modes
This course is delivered by the following means:
 6 Lectures of 1 hour each per week
 2 Tutorials of 1 hour per week
Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
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 noncontact time (e.g., reading and revision).
Learning Activities Summary
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
 Polarisationgradient forces (Optical tweezers)
 Magnetostatics in matter
 Hfield, 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, wavepacket (group) velocity .
 Formal Developments
 Differential operators: Hermitian adjoint, orthonormal eigenfunctions, GramSchmidt method for degenerate eigenvalues.
 Compatible observations, simultaneous eigenstates, 3D square well (example).
 Vector space of wave functions, completeness, analogy with spanning a finite space, overlap amplitude as inner product (,), 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 , variables, radial equation with centrifugal barrier, separation of and with = integer, spherical harmonics, parity.
 Hatom 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); SternGerlach experiment, sequential SG experiments; spinors, Pauli matrices; levelsplitting 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
 FermiDirac and BoseEinstein distributions
 The classical limit
 The free electron model of metals
 Electronic heat capacity of metals
 Systems with variable particle numbers
 BoseEinstein Condensation
 Thermodynamics of the Gibbs distribution
 Diffusion and Random Walk Processes
 Description of Particle transport theory via diffusion processes
Specific Course Requirements
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.

Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
 Assessment must encourage and reinforce learning.
 Assessment must enable robust and fair judgements about student performance.
 Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
 Assessment must maintain academic standards.
Assessment Summary
Assessment task Type of assessment Percentage of total assessment Hurdle
Yes or No #Outcomes being assessed/achieved Topic 1 – Electromagnetism Yes * 1, 2, 3, 10 Assignments, tests & online responses Formative & Summative 7%  13% No Exam 1 (EM) Summative 20%  26% No Topic 2 – Quantum Mechanics Yes * 4, 5, 6, 10 Assignments, tests & online responses Formative & Summative 7%  13% No Exam 2 (QM) Summative 20%  26% No Topic 3 – Statistical Mechanics Yes * 7 – 10 Assignments & online responses Formative & Summative 7%  13% No Exam 3 (SM) Summative 20%  26% No Assessment Related Requirements
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).
Assessment Detail
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 online 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 2hour 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
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.Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 149 Fail P 5064 Pass C 6574 Credit D 7584 Distinction HD 85100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through Access Adelaide.

Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including ongoing engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.

Student Support
 Academic Support with Maths
 Academic Support with writing and speaking skills
 Student Life Counselling Support  Personal counselling for issues affecting study
 International Student Support
 AUU Student Care  Advocacy, confidential counselling, welfare support and advice
 Students with a Disability  Alternative academic arrangements
 Reasonable Adjustments to Teaching & Assessment for Students with a Disability Policy

Policies & Guidelines
This section contains links to relevant assessmentrelated policies and guidelines  all university policies.
 Academic Credit Arrangement Policy
 Academic Honesty Policy
 Academic Progress by Coursework Students Policy
 Assessment for Coursework Programs
 Copyright Compliance Policy
 Coursework Academic Programs Policy
 Elder Conservatorium of Music Noise Management Plan
 Intellectual Property Policy
 IT Acceptable Use and Security Policy
 Modified Arrangements for Coursework Assessment
 Student Experience of Learning and Teaching Policy
 Student Grievance Resolution Process

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