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On the relation between indistinguishability of identical particles and (anti)symmetry of the wave function in quantum mechanics

โœ Scribed by Willem M. Muynck; Gidi P. Liempd

Publisher
Springer Netherlands
Year
1986
Tongue
English
Weight
993 KB
Volume
67
Category
Article
ISSN
0039-7857

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โœฆ Synopsis

Two different concepts of distinguishability are often mixed up in attempts to derive in quantum mechanics the (anti)symmetry of the wave function from indistinguishability of identical particles. Some of these attempts are analyzed and shown to be defective. It is argued that, although identical particles should be considered as observationally indistinguishable in (anti)symmetric states, they may be considered to be conceptually distinguishable. These two notions of (in)distinguishability have quite different physical origins, the former one being related to observations while the latter has to do with the preparation of the system.

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## Abstract Nanotubes can be characterized by a very high point symmetry, comparable or even larger than the one of the most symmetric crystalline systems (cubic, 48 point symmetry operators). For example, __N__ = 2__n__ rototranslation symmetry operators connect the atoms of the (__n__,0) nanotube