Philosophy of Physics, Science, and Metaphysics at Brown University

Brown University PL162 Philosophy of Quantum Mechanics, Spring 2007

Links to Papers

Note for Brown students: Some of the links to the papers require that your IP address is seen as being from Brown. You either need to be on campus or use the VPN software that Brown provides. You never need to pay any money for access to articles. For non-Brown readers, for some papers, you will need access through a library that has a subscription to the relevant journal.

Email me with any additional papers you are interested in covering or if you spot any errors.

The schedule listed here is subject to change based on class performance and scheduling contingencies.

Jan 25

Introduction; What is strange about QM, Heisenberg’s Uncertainty Principle, Superposition

Optional Readings: Jan Hilgevoord and Jos Uffink, Uncertainty Principle; Robertson, The Uncertainty Principle;

Jan 30

What is strange about QM, Part 2 Entanglement

QM Formalism

Albert, Ch 1 and 2. My Notes, Part 1.

Optional Reading: Appendices of Maudlin's Book.

There are lots of other sources for learning the formalism behind quantum mechanics. What we will discuss is a much simplified version of what is taught in a physics course, but still captures all the important features.

Feb 1

Class Cancelled

Feb 6

Discussion of Configuration Space and Initial Discussion of the "Reality" of the wave function.

Review My Notes, Part 2, the slides from the previous and material from upcoming classes.

Feb 8

How the QM Formalism explains the funny experimental results we got.

Feb 13

The Measurement Problem

Bohr, Heisenberg, Von Neumann, Wheeler, Wigner, Copenhagen interpretation

Albert, Ch. 4

Optional Readings: Jan Faye, Copenhagen Interpretation

Feb 15

Many Worlds Interpretations: Bare Theory, Everett's Relative State Interpretation

Assignment 1 due Friday Feb 16, 4:30 PM

Albert, Ch 6; Lev Vaidman, Many Worlds Interpretation

Optional Readings: Hugh Everett III, "Relative State" Formulation of Quantum Mechanics; Howard Stein, The Everett Interpretation of Quantum Mechanics: Many Worlds or None?; Robert Geroch, The Everett Interpretation;

Feb 20 Holiday

Feb 22

Many Worlds Interpretations: Probabilities

Optional Readings: David Wallace, Epistemology Quantized; David Papineau, Probabilities and the Many Minds Interpretation of Quantum Mechanics; D Deutsch, Quantum Theory as a Universal Physical Theory

Feb 27

Many Worlds Interpretations: Probabilities

Mar 1

Bohmian Mechanics: particles, pilot wave, Bohm's equation

Albert, Ch 7; Sheldon Goldstein: Bohmian Mechanics, Albert, Bohm's Alternative to Quantum Mechanics

Optional Readings: K. Berndl, M. Daumer, D. Dürr, S. Goldstein, N. Zanghi, A Survey on Bohmian Mechanics;

Mar 6

Bohmian Mechanics: conditional wave-functions, effective wave functions, comparison to many-worlds theory.

Harvey Brown and David Wallace, Solving the Measurement Problem: De Broglie--Bohm Loses Out to Everett

Mar 8

Spontaneous Collapse Interpretations: GRW interpretation, detecting collapses, energy conservation

Assignment 2 due Friday March 9, 4:30 PM

Albert, Ch 5; Giancarlo Ghirardi, Collapse Theories,

Optional Reading: Ghirardi, Rimini, Weber, Unified Dynamics for Microscopic and Macroscopic Systems;

Mar 13

Three Ontologies for Spontaneous Collapse Interpretations: Mass-Density Field, Flash, Bare Ontology

Valia Allori, Sheldon Goldstein, Roderich Tumulka, Nino Zanghi, On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory

Mar 15

Mid-term Exam

Mar 20

Quantum Non-locality, Bell’s Theorem

Albert Ch. 3; Maudlin, Chapter 1 and 2; Alain Aspect, Bell's Inequality Test: More Ideal than Ever

Mar 22

Special Relativity (STR), Minkowski spacetime, Invariant Interval, Time and Space in STR, Length Contraction, Time Dilation, Rigidity

Maudlin, Ch 2; My Notes on Relativity

Spring Break

Apr 3

Superluminal Particles

Maudlin, Ch 3

Apr 5

Cancelled Class

Apr 10 Signaling Maudlin, Ch 4

Assignment 3 due Wednesday April 11, 4:30 PM

Apr 12

EPR

A. Einstein, B. Podolsky, and N. Rosen, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?; Bohr's Reply; Maudlin, Chapter 5 (EPR part)

Apr 17

EPR

John Bell, Bertlmann's Socks and the Nature of Reality

Optional Reading: John Bell, On the Problem of Hidden Variables in Quantum Mechanics; N. David Mermin, Hidden variables and the two theorems of John Bell;

Apr 19

Non-local Causation

Maudlin, Ch 5 (non-EPR part)

Apr 24

General Relativity, Radical Hypersurface Dependence, and the Narrativity Problem

Maudlin, Ch 8 and 9; Brown Appendix B

Apr 26

Bell's 'Relative Time Invariance' and how it applies to GRW-mass-density, GRW-flash, and Bohmian mechanics.

Maudlin, "Nonlocal Correlations in Quantum Theory: How the Trick Might Be Done"

May 1 Relativistic GRW-flash theory Assignment 4 due, 4:30 Tuesday May 1

Optional Reading: Roderich Tumulka, On Spontaneous Wave Function Collapse and Quantum Field Theory

May 11

Final Exam (9AM, Wilson Hall 101)

 

About Sagacious Matter | Email: dk12 | ©2005-9 Douglas Kutach

Stanford Encylopedia

Quantum Mechanics

Bohr and Copenhagen Interpretation

Hanson: Copenhagen Interpretation of Quantum Theory, Five Cautions for the Copenhagen Interpretation's Critics

Howard: Who Invented the "Copenhagen Interpretation"? A Study in Mythology

Spontaneous Collapse Theories

Peter Lewis: GRW: A Case Study in Quantum Ontology

Decoherence-Related Issues

W. H. Zurek: Decoherence, einselection and the existential interpretation (the rough guide)

Information-Theoretic Approaches

Louis Marchildon: Why Should We Interpret Quantum Mechanics? (Potentially misleading title--its focus is on interpretations where collapse is epistemic, but there are no extra physical variables)

Many Worlds/Many Minds

Yoav Ben-Dov: Everett's theory and the "many-worlds" interpretation

Meir Hemmo and Itamar Pitowsky, Probability and Nonlocality in Many Minds Interpretations of Quantum Mechanics

Hilary Greaves, Probability in the Everett Interpretation, Understanding Deutsch's Probability in a Deterministic Multiverse

Pre-prints and Journals

PhilSci Archive

Philosophy of Science

The British Journal for the Philosophy of Science