Interpretation of Quantum Mechanics


course information | lectures | assignments | term project | additional materials

Course Information

Winter 2005 - PHYS 490 / PHYS 773

     Course Outline (in .doc format)

Instructors:


     Joseph Emerson         jemerson ["at"] perimeterinstitute ["dot"] ca
     Raymond Laflamme   laflamme ["at"] iqc ["dot"] ca

Dates & Times:

     Tuesdays & Thursdays, 2:15pm - 3:45pm,
     January through April, 2005 (Winter Term).

Location:

     Perimeter Institute, Room 405.
     (Note: Thursday, 3 March, the lecture will be at UW in BFG 2125 at the usual time.)

Lectures
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WEEK 1: Postulates of Quantum Theory     Joseph Emerson


     4 January - Lecture 1: Postulates of Quantum Theory I

     6 January -
Lecture 2: Postulates of Quantum Theory II


     Bibliography for Week 1



WEEK 2: Measurement & Interpretation     Joseph Emerson


     11 January - Lecture 3: Generalized States, Measurements, Transformations

     13 January -
Lecture 4: Interpretations of Bohr, von Neumann, and Dirac


     Bibliography for Week 2



WEEK 3: State Collapse & Hidden Variables     Joseph Emerson


     18 January - Lecture 5: Problems for the Orthodox Interpretation

     20 January -
Lecture 6: Incompleteness and Constraints on Hidden Variables


     Bibliography for Week 3



WEEK 4: The Many Worlds Interpretation     David Wallace


     25 January - Lecture 7: Many Worlds I

     27 January -
Lecture 8: Many Worlds II


     Assigned Reading for Week 4



WEEK 5: The de Broglie-Bohm Interpretation     Sheldon Goldstein


     1 February - Lecture 9: de Broglie-Bohm I

     3 February -
Lecture 10: de Broglie-Bohm II


     Assigned Reading for Week 5



WEEK 6: The Statistical Interpretation     Leslie Ballentine


     8 February - Lecture 11: Statistical I

     10 February -
Lecture 12: Statistical II


     Assigned Reading for Week 6



WEEK 7: Spontaneous Collapse Models     Philip Pearle


     15 February - Lecture 13: Continuous Spontaneous Localization "Lite"

     17 February - Lecture 14: Continuous Spontaneous Localization


     Assigned Reading for Week 7



WEEK 8: Experimental Interlude I     Anton Zeilinger


     1 March - Lecture 15: Interference of Macromolecules

     3 March - Lecture 16: Complementarity and Which-Path Information


     Assigned Reading for Week 8



WEEK 9: The Consistent Histories Interpretation     Robert Griffiths


     8 March - Lecture 17: Consistent Histories I

     10 March -
Lecture 18: Consistent Histories II


     Assigned Reading for Week 9



WEEK 10: Experimental Interlude II     Alain Aspect


     15 March - Lecture 19: Bell's Theorem & Non-Locality

     17 March - Lecture 20: Entanglement & Superluminal Signaling


     Assigned Reading for Week 10



WEEK 11: Axioms and Logic     Lucien Hardy / Matthew Leifer


     22 March - Lecture 21: Physical Axioms for Quantum Theory

     24 March -
Lecture 22: Quantum Logic


     Assigned Reading for Week 11



WEEK 12: Advanced Topics in Hidden Variables     Antony Valentini


     29 March - Lecture 23: Quantum Non-Equilibrium Systems I

     31 March - Lecture 24: Quantum Non-Equilibrium Systems II


     Assigned Reading for Week 12



WEEK 13: Epistemic Features of the Quantum State     Joseph Emerson


     5 April - Lecture 25: Chaos and Quantum/Classical Correspondence

     Assigned Reading for Week 13



Assignments

     Assignment 1, due 8 February, 2005.

     Assignment 2, due 15 March, 2005.

     Assignment 3, due 29 March, 2005.

     Solutions coming soon!

Term Project

Goal:

Prepare a report, showing that you understand the basic conceptual and mathematical/technical features of your topic, and that you can make critical comments about the issues relevant to the interpretation of quantum mechanics. You should present the material with enough detail that your fellow students would be able to understand your arguments. In other words, you may only assume your reader is familiar with the mathematical and conceptual material that was reviewed in the first two weeks of the course.

Format:

     10 - 15 pages for undergrads

     20 - 25 pages for grad students

Please take care of having a good introduction stating the problem(s) being addressed, a conclusion stating what you have learned, a table of contents, references, etc.

Your submission must be an electronic document in .pdf format (with hyper-references, preferably prepared using LATEX).

Deadline:

To be sent electronically to qipcours ["at"] iqc ["dot"] ca before midnight on 12 April, 2005.

Subjects:

Describe/review two of the interpretations of quantum mechanics discusssed during the course and compare them, pointing out pros and cons. Your first goal is to demonstrate that you have understood and can explain the interpretations. Your second goal is to offer a critical evaluation. (While you should draw your own conclusions, papers offering little more than opinions and speculation have not met the goals of the term project.)

     OR

Describe one interpretation which has been covered and for which there is a published criticism (e.g., "Againt Many Worlds" by A. Kent). Review both the interpretation and the criticism, critically evaluate them, and draw conclusions.

     OR

Describe one interpretation of quantum mechancis not discussed in the course and critically analyse it in the same sense as outlined above. Possible topics include:
     - Decoherence approach, W.H. Zurek, Review of Modern Physics 75, 715, 2003.
     - Modal interpretation, Jeffrey Bub, Interpreting the Quantum World, Cambridge University Press.
     - Macro Realism, A.J. Leggett, A. Garg, Physical Review Letters 54, 857, 1985.

     OR

Review and critically analyze one or more papers in the collection of historical articles in J.A. Wheeler and W.H. Zurek, Quantum Theory and Measurement, Princeton, 1983. You should critically evaluate the paper(s) not just using your own ideas and analysis, but also by directly referring to the papers it addresses and subsequent publications which address it.

     OR

Review several papers on a major topic impacting interpretations, such as EPR, non-locality or contextuality (or, even better, analyze the relationship between two of these; e.g., Mermin, 1993), or an experiment with a significant impact on interpretation (e.g., the experimental realization of "Schrödinger's cat states").

     OR

You can suggest a subject, but it must be approved by J. Emerson or R. Laflamme.

Additional Materials

     Course-related content at the Perimeter Institute

     Interpretations of Quantum Mechanics Class Survey

     Thank You Card




Institute for Quantum Computing | www.iqc.ca