PHYSICS 3542 - Physics III
North Terrace Campus - Semester 1 - 2015
General Course Information
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 Bose-Einstein, Fermi-Dirac and photon gases; selected topics from low temperature physics and electrical and thermal properties of matter are discussed.
Course Coordinator: Professor Gavin Rowell
The full timetable of all activities for this course can be accessed from Course Planner.
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) Knowledge and understanding of the content and techniques of a chosen discipline at advanced levels that are internationally recognised. 1-10 The ability to locate, analyse, evaluate and synthesise information from a wide variety of sources in a planned and timely manner. 2, 3, 6, 8-10 An ability to apply effective, creative and innovative solutions, both independently and cooperatively, to current and future problems. 3, 6, 9, 10 Skills of a high order in interpersonal understanding, teamwork and communication. 1-10 A proficiency in the appropriate use of contemporary technologies. 3, 6, 9, 10 A commitment to continuous learning and the capacity to maintain intellectual curiosity throughout life. 1-10
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
Gasiorowicz, S. (2003) Quantum Physics 3rd ed. (Wiley),
Bransden, B. H., and Joachain, C. J. (2000) Quantum Mechanics 2nd ed., (Pearson)
http://stellar.mit.edu/ 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 (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
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 non-contact time (e.g., reading and revision).
Learning Activities Summary
The course content will include the following:
- 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
- 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 (,), 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.
- 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).
- 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
- 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
- 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
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.
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 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).
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).
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.
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 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 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.
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 on-going 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.
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Policies & Guidelines
This section contains links to relevant assessment-related 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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