Quantum Mechanics II (PHYS3040)

Course overview

Theoretical basis for the understanding of physical properties of systems, generally of microscopic size, such as atoms, molecules or nuclei, but also certain macroscopic systems, such as superfluids or superconductors.

The course departsﾠfrom the Quantum Mechanics I PHYS2041 and aims at deeper and more comprehensive understanding of quantum mechanics governing the physical properties of systems, generally of microscopic size, such as atoms, molecules or nuclei, but sometimes also systems occurring on the macroscopic scale, such as superfluids or superconductors. The course will start from the mathematical formalism and postulates of quantum mechanics. This will be followed by introduction and applications of this formalism to the key examples for atoms, molecules, solids, light fields and other physical systems. Both matrix and wave mechanics will be used in a consistent way throughout in the course with emphasis on use of the Dirac notation. ﾠ

Specific topics will include the Stern-Gerlach experiment, time-dependent Schroedinger equation and dynamics of a driven two-level system, eigenstates of interacting two particles, entangled states and Bell inequality, symmetries and conservation laws, introduction to scattering, and the main classes of perturbation theory.

Modules:

1. Mathematical Foundations and Postulates
2. Quantum Dynamics
3. Multiparticle SystemsﾠandﾠEntanglement
4. Perturbation Theory
5. Quantum Scattering
6. Symmetries and Conservation Lawsﾠ

Detailed workshop and reading schedules will be available on the Blackboard site.

The laboratory component develops important experimental techniques and a 'hands-on' understanding of quantum phenomena, throughﾠa choice of experiments that complement the theoretical part of the course. ﾠ

The course provides part of a comprehensive, complete and coherent program of education in Physics intended for students aiming to become professional physicists.ﾠ

In the School of Mathematics and Physics we are committed to creating an inclusive and empowering learning environment for all students. We value and respect the diverse range of experiences our students bring to their education, and we believe that this diversity is crucial for fostering a rich culture of knowledge sharing and meaningful exploration. We hold both students and staff accountable for actively contributing to the establishment of a respectful and supportive learning environment.

Bullying, harassment, and discrimination in any form are strictly against our principles and againstﾠUQ Policy,ﾠand will not be tolerated. We have developed aﾠsuite of resourcesﾠto assist you in recognising, reporting, and addressing such behaviour. If you have any concerns about your experience in this course, we encourage you to tell a member of the course teaching team, or alternatively contact an SMP Classroom Inclusivity Champion (see Blackboard for contact details). Our Inclusivity Champions are here to listen, to understand your concerns, and to explore potential actions that can be taken to resolve them. Your well-being and a positive learning atmosphere are of utmost importance to us.

Course requirements

Assumed background

This course is a natural extension of the second year Quantum Physics course PHYS2041 and students shouldﾠhave a sound understanding of quantum physics at least at the level of that course (e.g., first four chapters of Griffith's Introduction to Quantum Mechanics). Background in differential and integral calculus, linear algebra, second order differential equation, separation of variables in rectangular & polar coordinates (MATH2001) and some knowledge of ordinary and partial differential equation and Fourier series (MATH2100) are strongly recommended.

Prerequisites

You'll need to complete the following courses before enrolling in this one:

PHYS2041

Recommended prerequisites

We recommend completing the following courses before enrolling in this one:

MATH2001 + MATH2100

Jointly taught details

This course is jointly-taught with:

PHYS3040 and PHYS7042 are co-badged courses and will share learning activities. PHYS7042 will have some differences in assessment to evaluate students at Level 9 (Masters) of the Australian Qualifications Framework.

Course contact

Course staff

Timetable

The timetable for this course is available on the UQ Public Timetable.

Additional timetable information

Workshops start in week 1.

Practicals and Laboratories start in week 2 for all students.ﾠ

Aims and outcomes

The aim of this course is to deepen and extend students conceptual understanding and problem solving ability in quantum physics. The postulates and mathematical formalism of quantum mechanics will be introduced in a more formal way and then applied to the key problems of quantum physics. The course will be supplemented with real-life examples from modern research when appropriate.

Through completing this course, students will be able to:

• Formulate the key concepts in quantum physics such as a quantum state, observables and measurement, superposition and entanglement, and the role of symmetry.
• Apply mathematical techniques such as Dirac formalism, matrix mechanics, wave mechanics, perturbation theory to calculate experimentally relevant physical quantities for representative physical systems in atomic physics, molecular physics, solid state physics, quantum optics.
• Argue why quantum mechanics is important for modern research and technology.
• Develop skill in independent experimental work, report writing and using uncertainty analysis in processing experimental data.

Learning outcomes

After successfully completing this course you should be able to:

Assessment

Assessment summary

Assessment details

Final Examination

• In-person

Mode

Written

Category

Examination

Weight

50%

Due date

End of Semester Exam Period

7/06/2025 - 21/06/2025

Other conditions

Student specific.

See the conditions definitions

Learning outcomes

L01, L02

Task description

Exam details

Submission guidelines

Deferral or extension

You may be able to defer this exam.

See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.

Experiment 2: Logbook and summary of analysis

Mode

Activity/ Performance

Category

Practical/ Demonstration

Weight

10% 10% or 15% (Experiment with the higher grade receives the higher weight)

Due date

Logbook snapshots at end of each session, with final summary due 5pm two weeks after the second session.

Learning outcomes

L03, L04

Task description

Submission guidelines

Submit via Blackboard. You may be required to submit your written summary via TurnItIn.

Deferral or extension

You may be able to apply for an extension.

The maximum extension allowed is 28 days. Extensions are given in multiples of 24 hours.

See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.

Late submission

You are required to submit assessable items on time. If you fail to meet the submission deadline for any assessment item a penalty of 10% of the maximum possible mark allocated for the assessment item (or equivalent penalty for other grading schemes) will be deducted per day for up to 7 calendar days, at which point any submission will not receive any marks unless an extension has been approved. Each 24-hour block is recorded from the time the submission is due.

Homework Problems

Mode

Written

Category

Tutorial/ Problem Set

Weight

25%

Due date

Due Fridays 5:00 pm. HW1: 7/3, HW2: 21/3, HW3: 4/4, HW4: 2/5, HW5: 16/5, HW6: 30/5

Other conditions

Student specific, Time limited.

See the conditions definitions

Learning outcomes

L01, L02

Task description

Submission guidelines

Assignments may be hand-written and scanned or typed using a computer. The files should be submitted electronically via Blackboard.

Deferral or extension

You may be able to apply for an extension.

The maximum extension allowed is 28 days. Extensions are given in multiples of 24 hours.

See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.

Late submission

You are required to submit assessable items on time. If you fail to meet the submission deadline for any assessment item a penalty of 10% of the maximum possible mark allocated for the assessment item (or equivalent penalty for other grading schemes) will be deducted per day for up to 7 calendar days, at which point any submission will not receive any marks unless an extension has been approved. Each 24-hour block is recorded from the time the submission is due.

Experiment 1: Logbook and summary of analysis

Mode

Activity/ Performance

Category

Practical/ Demonstration

Weight

15% 10% or 15% (Experiment with the higher grade receives the higher weight)

Due date

Logbook snapshots at end of each session, with final summary due 5pm two weeks after the second session.

Learning outcomes

L03, L04

Task description

Submission guidelines

Submit via Blackboard. You may be required to submit your written summary via TurnItIn.

Deferral or extension

You may be able to apply for an extension.

The maximum extension allowed is 28 days. Extensions are given in multiples of 24 hours.

See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.

Late submission

You are required to submit assessable items on time. If you fail to meet the submission deadline for any assessment item a penalty of 10% of the maximum possible mark allocated for the assessment item (or equivalent penalty for other grading schemes) will be deducted per day for up to 7 calendar days, at which point any submission will not receive any marks unless an extension has been approved. Each 24-hour block is recorded from the time the submission is due.

Course grading

Full criteria for each grade is available in the Assessment Procedure.

Additional course grading information

All assessment items will be graded on a ﾠ1 to 7 scale.ﾠ The overall mark of the course will be taken as a weighted average of all assessment tasks. The weighted average will be compared with cut-offs specified in the criteria for each grade.

Supplementary assessment

Supplementary assessment is available for this course.

Should you fail a course with a grade of 3, you may be eligible for supplementary assessment. Refer to my.UQ for information on supplementary assessment and how to apply. 

Supplementary assessment provides an additional opportunity to demonstrate you have achieved all the required learning outcomes for a course.  

If you apply and are granted supplementary assessment, the type of supplementary assessment set will consider which learning outcome(s) have not been met.  

Supplementary assessment in this course will be a 2-hour examination similar in style to the end-of-semester examination. To receive a passing grade of 3S4, you must obtain a mark of 50% or more on the supplementary assessment.  

Additional assessment information

You may be required to submit your laboratory reports or summaries via TurnItIn, in which case you will be permitted to submit a draft for checking prior to the due date.

Artificial Intelligence

Assessment tasks in this course evaluate students' abilities, skills and knowledge without the aid of generative Artificial Intelligence (AI) or Machine Translation (MT). Students are advised that the use of AI or MT technologies to develop responses is strictly prohibited and may constitute student misconduct under the Student Code of Conduct.

Applications for Extensions to Assessment Due Dates

Extension requests are submitted online via my.UQ – applying for an extension. Extension requests received in any other way will not be approved. Additional details associated with extension requests, including acceptable and unacceptable reasons, may be found at my.UQ.

Please note:

• Requests for an extension to an assessment due date must be submitted through your my.UQ portal and you must provide documentation of your circumstances, as soon as it becomes evident that an extension is needed. Your application must be submitted on or before the assessment item's due date and time.
• Applications for extension can take time to be processed so you should continue to work on your assessment item while awaiting a decision. We recommend that you submit any completed work by the due date, and this will be marked if your application is not approved. Should your application be approved, then you will be able to resubmit by the agreed revised due date.
• If an extension is approved, you will be notified via your my.UQ portal and the new date and time for submission provided. It is important that you check the revised date as it may differ from the date that you requested.
• If the basis of the application is a medical condition, applications should be accompanied by a medical certificate dated prior to the assignment due date. If you are unable to provide documentation to support your application by the due date and time you must still submit your application on time and attach a written statement (Word document) outlining why you cannot provide the documentation. You must then upload the documentation to the portal within 24 hours.
• If an extension is being sought on the basis of exceptional circumstances, it must be accompanied by supporting documentation (eg. Statutory declaration).
• For extensions based on a SAP you may be granted a maximum of 7 days (if no earlier maximum date applies). See the Extension or Deferral availability section of each assessment for details. Your SAP is all that is required as documentation to support your application. However, additional extension requests for the assessment item will require the submission of additional supporting documentation e.g., a medical certificate. All extension requests must be received by the assessment due date and time.
• Students may be asked to submit evidence of work completed to date. Lack of adequate progress on your assessment item may result in an extension being denied.
• If you have been ill or unable to attend class for more than 14 days, you are advised to carefully consider whether you are capable of successfully completing your courses this semester. You might be eligible to withdraw without academic penalty - seek advice from the Faculty that administers your program.
• There are no provisions for exemption from an assessment item within UQ rules. If you are unable to submit an assessment piece then, under special circumstances, you may be granted an exemption, but may be required to submit alternative assessment to ensure all learning outcomes are met.

Applications to defer an exam

In certain circumstances you can apply to take a deferred examination for in-semester and end-of-semester exams. You'll need to demonstrate through supporting documentation how unavoidable circumstances prevented you from sitting your exam. If you can’t, you can apply for a one-off discretionary deferred exam.

Deferred Exam requests are submitted online via mySi-net. Requests received in any other way will not be approved. Additional details associated with deferred examinations, including acceptable and unacceptable reasons may be found at my.UQ.

Please note:

• Applications can be submitted no later than 5 calendar days after the date of the original exam.
• There are no provisions to defer a deferred exam. You need to be available to sit your deferred examination.
• Your deferred examination request(s) must have a status of "submitted" in mySI-net to be assessed.
• All applications for deferred in-semester examinations are assessed by the relevant school. Applications for deferred end-of-semester examinations are assessed by the Academic Services Division.
• You’ll receive an email to your student email account when the status of your application is updated.
• If you have a medical condition, mental health condition or disability and require alternative arrangements for your deferred exam you’ll need to complete the online alternative exam arrangements through my.UQ. This is in addition to your deferred examinations request. You need to submit this request on the same day as your request for a deferred exam or supplementary assessment. Contact Student Services if you need assistance completing your alternative exam arrangements request.

Learning resources

You'll need the following resources to successfully complete the course. We've indicated below if you need a personal copy of the reading materials or your own item.

Library resources

Find the required and recommended resources for this course on the UQ Library website.

Additional learning resources information

PHYS3040 Workshop solutions and notes. Available on Blackboard after workshops.

Videos prepared by teaching staff on selected topics, available on Blackboard.ﾠ

ﾠ

Learning activities

The learning activities for this course are outlined below. Learn more about the learning outcomes that apply to this course.

Policies and procedures

University policies and procedures apply to all aspects of student life. As a UQ student, you must comply with University-wide and program-specific requirements, including the:

• Student Code of Conduct Policy
• Student Integrity and Misconduct Policy and Procedure
• Assessment Procedure
• Examinations Procedure
• Reasonable Adjustments - Students Policy and Procedure

Learn more about UQ policies on my.UQ and the Policy and Procedure Library.