PHYS 307 - Victoria University of Wellington

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The theory of quantum mechanics is developed and applied to free particle motion ... Mechanics Vol I (2ed John Wiley & Sons, 1977); Gasiorowicz, Quantum  ...
SCHOOL OF CHEMICAL AND PHYSICAL SCIENCES

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PHYS 307 Quantum Physics (CRN 1201 -15 points) Course Outline – trimester 1 2012 Course coordinator/Lecturer(s) Name: Prof. Pablo Etchegoin Room LB214 E-mail: [email protected] Tel: 463 8910 Course Description The theory of quantum mechanics is developed and applied to free particle motion and bound states. The theories of orbital and spin angular momentum are introduced. Applications discussed include the hydrogen atom, spins in a magnetic field (magnetic resonance) and the vibration and rotation of molecules and, if there is time, the deuteron, or other appropriate topics. Prerequisites (PHYS 221 and 222) or PHYS 214, MATH 243 or MATH 206 Course Objectives Students passing this course should be able to: 1.

Write down and solve the time dependent and time independent Schrodinger equations for constant potentials such as square wells and barriers.

2.

Recognise and interpret salient features of solutions of the time independent Schrodinger equation for the one dimensional harmonic oscillator and the Coulomb potential.

3.

Extract information about a quantum state from knowledge of its wave function,

4.

Discuss the Zeeman effect and hyperfine splitting in the context of the hydrogen atom.

5.

Understand the generalised statistical interpretation of quantum mechanics and the formulation of the uncertainty principle.

6.

Understand the quantum theory of angular momentum including spin, including addition of angular momenta.

7.

Operate an NMR spectrometer and a prism spectrometer to make measurements in the context of a quantum mechanical theory.

Course Operation Lecture schedule The lecture schedule is variable, depending on class progress. Lecture course: Griffiths: Chapters 1 to 5 inclusive, with main emphasis on the contents of Chapters 1, 2, and 4 (some of the content of Chapter 6 may be included as time permits) Text: David J Griffiths Introduction to Quantum Mechanics (Prentice Hall, 1995) Books which may be of some help: Quantum Mechanics by Alastair I M Rae, (4ed, Institute of Physics Publishing, 2002 [text up to 2005]); Cohen-Tannoudji, Diu & Laloe Quantum Mechanics Vol I (2ed John Wiley & Sons, 1977); Gasiorowicz, Quantum Physics (2ed, New York Wiley, 1996; contains an extensive list of reference texts with comments on each); Eugene Merzbacher, Quantum Mechanics (3ed, John Wiley & Sons, 1998). Copies of Griffiths, Rae, Gasiorowicz and other texts may be found in the School Library. For an extensive introduction to the Dirac delta function in 1, 2 and 3 dimensions see G Barton Elements of Green's Functions and Propagation (Clarendon Press Oxford 1989). Laboratory course There are two experiments involving a total of 16 hours of practical work. The experiments are Nuclear magnetic resonance and Vibration-rotation spectrum of methane molecules.

summary of critical dates event terms test NMR experiment IR spectrum of methane experiment

Due date Mon. 30 March

in-term mark summary item terms test lab mark

mark

(you fill in the dates for your laboratory work) Please keep in touch with your Lecturer if you need to. Report on any problem you might be having with the course as they happen. Do not wait to the last week before the final exam for reporting problems you might be having with the course. It could be by then too late to do something about it.

Course Timetable Lectures: Labs:

Tutorials:

11-12 am Mondays, Tuesdays; AM102 One 4-hour lab/week (alternate weeks): Mon, Tue, Wed, Thur, Fri 1-5 pm, LB215B. Sign up sheets and any further information regarding labs can be obtained from reception. 11-12 am Friday; AM102

Tutorials commence in the first week and then are held every week (depending on class progress). I will announce every week if we have tutorials or not for that specific week, but a rule of thumb is that we will use ALL tutorial days throughout the term. Additional information may be found on the 300 level noticeboard outside the 300 level laboratory, only if there are any changes to the information given here.

Course materials and texts Recommended texts:

D.J. Griffiths Introduction to quantum mechanics (1995) A.I.M. Rae Quantum mechanics (2002) S. Gasiorowicz Quantum physics (1996)

More advanced (but highly recommended) books: Landau and Lifshitz, Quantum Mechanics. Zettili, Quantum Mechanics, Concepts and applications. A scientific calculator is desirable, but not essential.

Assessment The assessment for PHYS 307 involves terms tests, laboratory work and the final exam, as detailed below:

Laboratory Tests Final Examination

Length/ duration 10-20 pages 50 min 3 hours closed book

Date due / exam period 2 reports to count

% of final grade

Mon 30st March Check exam timetables

15% 60%

25%

A pass in the course requires a minimum composite mark of 50% or more, calculated as follows:  In term: Terms test (to be held during lecture hour on Wednesday 31st March): 15 %

Laboratory assessment: 25%  Final examination (one 3 hour exam mid-year): 60% There will not be compulsory assignments to hand in. It is your responsibility to keep up to date with the problems and make sure that you are able to solve typical ones for the final and midterm exams. The final examination and mid-term test are designed to assess analytical skills and the knowledge base with respect to objectives one to six listed below. The laboratory course is designed to test ability to organise, conduct, record and report on an extended investigation of a microscopic system using advanced instruments. The due date for lab reports is two weeks after the day the experiment is done. After the last deadline to submit reports has gone by, I will not accept the reports under any circumstance. This is bound to remain an inflexible rule for the course, unless truly exceptional circumstances (accidents, illness, special personal circumstances, etc…) can be reliably demonstrated. In the event of an aegrotat application, the mid-term test and the lab performance will contribute substantially to the outcome. Mandatory Course Requirements To pass the course, in addition to obtaining an overall C grade or better, the laboratory course must be completed to a satisfactory standard; for details see "Laboratory Assessment". No lab reports means an automatic failure to pass the course, even if the mid-term and final-exams have been passed with 100% of the mark each. Late Work All work is due in on the due date. Marks will be deducted at a rate of 10% of the full mark for each working day late. Work will not be marked if more than 1 week late. Extensions will be given only in exceptional circumstances, and if agreed before the due date. In the event of an aegrotat application, regular submission and performance in assignments and laboratories will contribute substantially to the outcome. Workload On average, students should plan to spend a minimum of 10 hours per point i.e. 150 hours for a 15 point course, or 10-12 hours per week, including exam periods, in order to achieve an average grade in this course. Blackboard This course does not use Blackboard. Any essential communication will be done by e-mail.

Academic Integrity and Plagiarism Academic integrity means that university staff and students, in their teaching and learning are expected to treat each other honestly, fairly and with respect at all times. It is not acceptable to mistreat academic, intellectual or creative work that has been done by other people by representing it as your own original work. Academic integrity is important because it is the core value on which the University’s learning, teaching and research activities are based. Victoria University’s reputation for academic integrity adds value to your qualification. The University defines plagiarism as presenting someone else’s work as if it were your own, whether you mean to or not. ‘Someone else’s work’ means anything that is not your own idea. Even if it is presented in your own style, you must acknowledge your sources fully and appropriately. This includes:  Material from books, journals or any other printed source  The work of other students or staff  Information from the internet  Software programs and other electronic material  Designs and ideas  The organisation or structuring of any such material. Find out more about plagiarism, how to avoid it and penalties, on the University’s website: http://www.victoria.ac.nz/home/study/plagiarism.aspx Other University information Student Learning Support Service offers support for students in relation to all kinds of study needs. Visit: http://www.victoria.ac.nz/st_services/slss Registered students will find information on Blackboard at: http://www.blackboard.vuw.ac.nz University policy information is available at: http://www.victoria.ac.nz/home/about/policy PLEASE NOTE: Check with the faculty office for the last allowed day for withdrawal from this course with a full refund. After this date, withdrawal requires permission from the Dean of students.