Discerning Fermions
| Abstract | We demonstrate that the quantum-mechanical description of composite physical systems of an arbitrary number of similar fermions in all their admissible states, mixed or pure, for all finite-dimensional Hilbert-spaces, is not in conflict with Leibniz’s Principle of the Identity of Indiscernibles (PII). We discern the fermions by means of physically meaningful, permutation-invariant categorical relations, i.e | |||||||||
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F. A. Muller & Simon Saunders (2008). Discerning Fermions. British Journal for the Philosophy of Science 59 (3):499-548.
F. A. Muller & M. P. Seevinck (2009). Discerning Elementary Particles. Philosophy of Science 76 (2):179-200.
Adam Caulton (2013). Discerning “Indistinguishable” Quantum Systems. Philosophy of Science 80 (1):49-72.
Michela Massimi (2001). Exclusion Principle and the Identity of Indiscernibles: A Response to Margenau's Argument. British Journal for the Philosophy of Science 52 (2):303--30.
N. Huggett & J. Norton (forthcoming). Weak Discernibility for Quanta, the Right Way. British Journal for the Philosophy of Science.
Adam Caulton & Jeremy Butterfield (2012). Symmetries and Paraparticles as a Motivation for Structuralism. British Journal for the Philosophy of Science 63 (2):233-285.
James Ladyman & Tomasz Bigaj (2010). The Principle of the Identity of Indiscernibles and Quantum Mechanics. Philosophy of Science 77 (1):117-136.
Steven French & Michael Redhead (1988). Quantum Physics and the Identity of Indiscernibles. British Journal for the Philosophy of Science 39 (2):233-246.
Gerard A. J. M. Jagers Op Akkerhuis & Nico van Straalen (1999). Operators, the Lego-Bricks of Nature: Evolutionary Transitions From Fermions to Neural Networks. World Futures 53 (4):329-345.
Ernst Binz, Maurice A. De Gosson & Basil J. Hiley (2013). Clifford Algebras in Symplectic Geometry and Quantum Mechanics. Foundations of Physics 43 (4):424-439.
Simon Saunders (2003). Physics and Leibniz's Principles. In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press.
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