The Gibbs Paradox Revisited
The Gibbs paradox has frequently been interpreted as a sign that particles of the same kind are fundamentally indistinguishable; and that quantum mechanics, with its identical fermions and bosons, is indispensable for making sense of this. In this article we shall argue, on the contrary, that analysis of the paradox supports the idea that classical particles are always distinguishable. Perhaps surprisingly, this analysis extends to quantum mechanics: even according to quantum mechanics there can be distinguishable particles of the same kind. Our most important general conclusion will accordingly be that the universally accepted notion that quantum particles of the same kind are necessarily indistinguishable rests on a confusion about how particles are represented in quantum theory.
KeywordsWave Packet Classical Limit Classical Physic Quantum Particle Classical Particle
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- Claude Cohen-Tannoudji, Bernard Diu and Frank Laloe, Quantum Mechanics, Vol. 2. Hoboken: Wiley-Interscience 1978, Ch. XIV.Google Scholar
- Dennis Dieks, “Are ‘Identical Quantum Particles’ Weakly Discernible Objects?”, in: Mauricio Suarez, Mauro Dorato and Miklos Redei (Eds.), EPSA Philosophical Issues in the Sciences: Launch of the European Philosophy of Science Association, Volume 2. Heidelberg: Springer 2010.Google Scholar
- Dennis Dieks and Andrea Lubberdink, “How Classical Particles Emerge From the Quantum World”, in: Foundations of Physics, 2011, to appear; DOI 10.1007/s10701-010-9515-2.Google Scholar
- Steven French and Decio Krause, Identity in Physics: A Historical, Philosophical, and Formal Analysis. Oxford: Oxford University Press 2006.Google Scholar
- Andrea Lubberdink, “Identical Particles in Quantum Mechanics”, at http://arxiv.org/abs/0910.4642
- N.G. van Kampen, “The Gibbs Paradox”, in: W.E. Parry (Ed.), Essays in Theoretical Physics. Oxford: Pergamon Press 1984, pp. 303-312.Google Scholar
- Wojciech H. Zurek, “Decoherence and the Transition from Quantum to Classical Revisited”, in: B. Duplantier, J.-M. Raimond and M. Rivasseau (Eds.), Quantum Decoherence, Poincaré Seminar 2005 (Progress in Mathematical Physics, vol. 48). Basel: Birkhäuser 2007, pp. 1-31.Google Scholar