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arXiv · 1605.00547

Features of Quantum Mechanics on a Ring

Bernhard K. Meister
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Abstract

Aspects of quantum mechanics on a ring are studied. Either one or two impenetrable barriers are inserted at nodal and non-nodal points to turn the ring into either one or two infinite square wells. In the process, the wave function of a particle can change its energy, as it gets entangled with the barriers and the insertion points become nodes. Two seemingly innocuous assumptions representing locality and linearity are investigated. Namely, a barrier insertion at a fixed node needs no energy, and barrier insertions can be described by linear maps. It will be shown that the two assumptions are incompatible.

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Bernhard K. Meister. 2016-05-02. Features of Quantum Mechanics on a Ring. https://arxiv.org/abs/1605.00547

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