Graduate studies at Western
British Journal for the Philosophy of Science 53 (3):355-389 (2002)
|Abstract||The treatment of identical particles in quantum mechanics rests on two (related) principles: the spin-statistics connection and the Symmetrization Postulate. In light of recent theories (such as q-deformed commutators) that allow for ‘small’ violations of the spin-statistics connection and the Symmetrization Postulate, we revisit the issue of how quantum mechanics deals with identical particles and how it supports or fails to support various philosophical stances concerning individuality. As a consequence of the expanded possibilities for quantum statistics, we argue that permutation symmetry is best formulated as a formal property of the state function describing the system of particles rather than as a property of the individual particles. 1 Introduction 2 Philosophical background 2.1 Important terminology 2.1.1 Identity 2.1.2 Indistinguishability 2.1.3 Indiscernibility 2.2 When are particles indistinguishable? 2.3 The Principle of the Identity of Indiscernibles and quantum mechanics 2.4 The Principle of the Identity of Indiscernibles and logic 2.5 Particle history 2.6 Transcendental individuality 3 Some quantum formalism 3.1 The Principle of Permutation Invariance and the Symmetrization Postulate 3.2 The configuration-space approach 3.3 Commutators and anticommutators, and identical particle statistics 3.4 Q-mutators 4 Identical particle statistics: a holistic point of view 5 Conclusions.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Dennis Dieks & Marijn Versteegh (2008). Identical Quantum Particles and Weak Discernibility. Foundations of Physics 38 (10):923-934.
Shaughan Lavine (1991). Is Quantum Mechanics an Atomistic Theory? Synthese 89 (2):253 - 271.
Matteo Morganti (2011). Identity in Physics: Statistics and the (Non-)Individuality of Quantum Particles. In H. De Regt, S. Hartmann & S.: Okasha (eds.), EPSA Philosophy of Science: Amsterdam 2009. Springer.
Michael Redhead & Paul Teller (1992). Particle Labels and the Theory of Indistinguishable Particles in Quantum Mechanics. British Journal for the Philosophy of Science 43 (2):201-218.
Willem M. Muynck & Gidi P. Liempd (1986). On the Relation Between Indistinguishability of Identical Particles and (Anti)Symmetry of the Wave Function in Quantum Mechanics. Synthese 67 (3):477 - 496.
Matteo Morganti (2009). Inherent Properties and Statistics with Individual Particles in Quantum Mechanics. Studies in History and Philosophy of Modern Physics 40 (3):223-231.
Dennis Dieks (1990). Quantum Statistics, Identical Particles and Correlations. Synthese 82 (1):127 - 155.
Added to index2009-01-28
Total downloads16 ( #81,883 of 741,392 )
Recent downloads (6 months)0
How can I increase my downloads?