PHYSICS 3544  Quantum Mechanics III
North Terrace Campus  Semester 2  2014

General Course Information
Course Details
Course Code PHYSICS 3544 Course Quantum Mechanics III Coordinating Unit School of Chemistry & Physics Term Semester 2 Level Undergraduate Location/s North Terrace Campus Units 3 Contact Up to 4 hours per week Prerequisites PHYSICS 3542, MATHS 2101 or MATHS 2201, MATHS 2102 or MATHS 2202 Incompatible PHYSICS 3022 Assumed Knowledge PHYSICS 2532 Course Description This course will introduce Dirac's braket formulation of quantum mechanics and make students familiar with various approximation methods applied to atomic, nuclear and solidstate physics, and to scattering.
Content will include: Dirac's formulation of quantum mechanics: kets and bras, quantum oscillator, angular momentum, measurement, Bell's inequality, generalised Uncertainty Principle, connection with wave and matrix mechanics. Timeindependent and timedependent perturbation theory, Schrodinger, Heisenberg and Interaction pictures, radiative transitions. Identical particles, atoms, exchange forces, periodic systems, energy bands in solids. Symmetries, translations in space and time, parity and time reversal, rotations and angular momentum, addition of angular momenta, fine structure of Hydrogen, LS and jj coupling in atoms and nuclei. HartreeFock and ThomasFermi approximations, variational and WKB methods. Scattering: Born approximation, Smatrix, partial waves.Course Staff
Course Coordinator: Associate Professor Murray Hamilton
Course Timetable
The full timetable of all activities for this course can be accessed from Course Planner.

Learning Outcomes
Course Learning Outcomes
 develop a knowledge and understanding of the concept that quantum states live in a vector space;
 develop a knowledge and understanding of the meaning of measurement;
 elate this abstract formulation to wave and matrix mechanics;
 develop a knowledge and understanding of perturbation theory, level splitting, and radiative transitions;
 develop a knowledge and understanding of the relation between conservation laws and symmetries;
 develop a knowledge and understanding of the role of angular momentum in atomic and nuclear physics;
 develop a knowledge and understanding of the scattering matrix and partial wave analysis;
 solve quantum mechanics problems;
 use the tools, methodologies, language and conventions of physics to test and communicate ideas and explanations
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 – 9 The ability to locate, analyse, evaluate and synthesise information from a wide variety of sources in a planned and timely manner. 1 – 9 An ability to apply effective, creative and innovative solutions, both independently and cooperatively, to current and future problems. 1 – 9 Skills of a high order in interpersonal understanding, teamwork and communication. 1 – 9 A proficiency in the appropriate use of contemporary technologies. 1 – 9 A commitment to continuous learning and the capacity to maintain intellectual curiosity throughout life. 1 – 9 
Learning Resources
Required Resources
This course will require ready access to the following texts and other resources:
Griffiths, D. J., Introduction to Quantum Mechanics, 2nd Edition (Pearson Prentice Hall, Upper Saddle River, NJ, 2005).
Sakurai, J.J. and Napolitano, J., Modern Quantum Mechanics, 2nd Edition (Pearson, AddisonWesley, San Francisco, 2011)
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 will be delivered by the following means:
 Lectures 36 x 50minute sessions with three sessions per week
 Tutorials 11 x 50minute sessions with one session 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 3 unit course, such as this, should expect to spend, on average 12 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
 Dirac's Quantum Mechanics
 Abstract ket vectors, dual bravector space and Dirac adjoint, Dirac operators, Schrödinger equation for kets
 Overlap amplitudes , measurement, polarisation and spin states, "collapse of the wave function"
 Hermitian and unitary operators, compatible observables, orthonormal ket basis, matrix elements
 Dirac ladder operators for the oscillator and for angular momentum
 Continuous eigenvalues, position and momentum wave functions as overlap amplitudes, relation to Fourier analysis
 Ehrenfest's theorem, generalised Heisenberg Uncertainty Principle, timeenergy uncertainty
 TimeIndependent Perturbation Theory
 Nondegenerate theory, e.g. distorted square well, anharmonic oscillator
 Degenerate perturbation theory, 3D oscillator, H atom, e.g. Zeeman effect
 Timedependent Phenomena
 Schrödinger, Heisenberg and Interaction pictures
 Timeevolution operator, perturbation series
 Timedependent perturbation theory, Golden Rule, radiative transitions
 Scattering
 describe scattering using timedependent perturbation theory
 derive the formula for the tmatrix
 relate the tmatrix to the differential cross section
 understand the role of unitarity
 Symmetries in Quantum Mechanics
 Symmetries and conservation laws, space and time translations
 Discrete symmetries, parity and timereversal
 Rotations and angular momentum
 Addition of angular momenta, orbital angular momentum and spin
 Degeneracy in hydrogen
 LS and jj coupling in atoms and nuclei
 Approximation Methods
 variational method

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 for grading purposes Hurdle (Yes/No) Outcomes being assessed Tests Formative & Summative 3040% No 1 – 9 Written Examination Summative 6070% Yes (40%) 1 – 9 Assessment Related Requirements
To obtain a grade of Pass or better in this course, a student must attend the examination and achieve a result of 40% or better in the examination.
Assessment Detail
Tests: (3040% of total course grade)
These 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.Written Examination: (6070% of total course grade)
One 3 hour exam is used to assess the understanding of and ability to use the material.Poor performance in tests may be partly redeemed in the final exam.
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. The assessment extension application form can be obtained from: http://www.sciences.adelaide.edu.au/current/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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