Undergraduate Course: Quantum Theory (PHYS11019)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 11 (Year 4 Undergraduate) 
Credits  10 
Home subject area  Undergraduate (School of Physics and Astronomy) 
Other subject area  None 
Course website 
http://www.ph.ed.ac.uk/~bjp/qt 
Taught in Gaelic?  No 
Course description  In this course we review the fundamental ideas of quantum mechanics, introduce the path integral for a nonrelativistic point particle, and use it to derive timedependent perturbation theory and the Born series for nonrelativistic scattering. The course concludes with an introduction to relativistic quantum mechanics and the ideas of quantum field theory. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  Yes 
Course Delivery Information

Delivery period: 2013/14 Semester 1, Available to all students (SV1)

Learn enabled: Yes 
Quota: None 

Web Timetable 
Web Timetable 
Class Delivery Information 
Workshop/tutorial sessions, as arranged. 
Course Start Date 
16/09/2013 
Breakdown of Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Supervised Practical/Workshop/Studio Hours 20,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
52 )

Additional Notes 

Breakdown of Assessment Methods (Further Info) 
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %

Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)  Quantum Theory  2:00  

Delivery period: 2013/14 Semester 1, Partyear visiting students only (VV1)

Learn enabled: No 
Quota: None 

Web Timetable 
Web Timetable 
Class Delivery Information 
Workshop/tutorial sessions, as arranged. 
Course Start Date 
16/09/2013 
Breakdown of Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Supervised Practical/Workshop/Studio Hours 20,
Summative Assessment Hours 2,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
52 )

Additional Notes 

Breakdown of Assessment Methods (Further Info) 
Written Exam
100 %,
Coursework
0 %,
Practical Exam
0 %

Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)  Quantum Theory (VS1)  2:00  
Summary of Intended Learning Outcomes
Upon successful completion of the course, it is expected that students will be able to:
(1) Understand the basic principles of quantum mechanics;
(2) Understand the path integral representation of quantum mechanics;
(3) Understand the operator formulation of quantum mechanics;
(4) Understand time dependent perturbation theory in quantum mechanics;
(5) Understand how to apply perturbation theory to describe scattering;
(6) Understand the form and construction of relativistic wave equations;
(7) Appreciate the need for quantum field theory.
In all the above the generic word "understand" is used to mean that the student must be able to use what s/he has learned to solve a range of unseen problems. The style and level of difficulty of these problems may be found from solving the examples provided in the course, and by the study of past exam papers. A more complete specification of the material included in the course may be found in the syllabus. It is intended that there will be a twohour workshop each week. 
Assessment Information
Degree Examination, 100%
Visiting Student Variant Assessment
Degree Examination, 100% 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
Quantum kinematics: slit experiments, Hilbert space, Dirac notation, complete sets of states, operators and observables, space as a continuum, wave number and momentum.
Time evolution: the amplitude for a path, the Feynman path integral, relation to the classical equations of motion and the HamiltonJacobi equations.
Evaluating the path integral for the free particle and the harmonic oscillator. Derivation of the Schroedinger equation from the path integral. The Schroedinger and Heisenberg pictures for time dependence in quantum mechanics. The transition amplitude as a Green function. Charged particle in an EM field, AharonovBohm effect, Transition elements, Ehrenfest's Theorem and Zitterbewegung.
Timedependent perturbation theory using path integrals: time ordering and the Dyson series, perturbative scattering theory, the Born series, differential crosssections, the operator formulation, time dependent transitions.
Feynman perturbation theory and Feynman diagrams.
Relativistic quantum theory: the KleinGordon and Dirac equations. Negative energy solutions, spin, necessity for a many particle interpretation. Brief introduction to the basic ideas of quantum field theory. 
Transferable skills 
Not entered 
Reading list 
As a stimulating introduction to the course: Lectures on Physics, Volume III, RP Feynman.
The course doesn't follow any book in detail, but the following textbooks contain material that is closest to the level of the course:
Quantum Mechanics and Path Integrals, RP Feynman and AR Hibbs  the original text on the subject: rather old and a little longwinded but probably closest to the course.
There is a new 'Emended Edition' of Feynman and Hibbs by Daniel Styer (Dover Publications). It contains many corrections to the original, and is much cheaper!
Principles of Quantum Mechanics, R Shankar.
Modern Quantum Mechanics, JJ Sakurai.
See also the second half of the book:
Path Integrals in Physics, Volume I: Stochastic Processes and Quantum Mechanics, M Chaichian and A Demichev.
More advanced texts:
Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, H Kleinert  possibly the most complete of all texts on path integrals, but rather long.
Path Integrals in Quantum Mechanics, J ZinnJustin  ditto, but somewhat less verbose than Kleinert.
Quantum Theory, A Wide Spectrum, EB Manoukian  possibly the most comprehensive book on Quantum Theory in existence, and it's available electronically (i.e. free!) from Springer via the University Library website.

Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  QuaTh 
Contacts
Course organiser  Dr Brian Pendleton
Tel: (0131 6)50 5241
Email: b.pendleton@ed.ac.uk 
Course secretary  Miss Paula Wilkie
Tel: (0131) 668 8403
Email: Paula.Wilkie@ed.ac.uk 

