Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics

Details Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics Limitations on the superposition principle: superselection rules in non-relativistic quantum mechanics

1998-09-19

arxiv.org/abs/quant-ph/9809059v1

Eur.J.Phys. 19 (1998) 237-243

Physics

Quantum Physics

22 pages, no figures

Scientific paper

10.1088/0143-0807/19/3/005

The superposition principle is a very basic ingredient of quantum theory. What may come as a surprise to many students, and even to many practitioners of the quantum craft, is tha superposition has limitations imposed by certain requirements of the theory. The discussion of such limitations arising from the so-called superselection rules is the main purpose of this paper. Some of their principal consequences are also discussed. The univalence, mass and particle number superselection rules of non-relativistic quantum mechanics are also derived using rather simple methods.

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