On Pauli pairs

Stanislav Shkarin

doi:10.1063/1.4794087

On Pauli pairs

Stanislav Shkarin

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Abstract

The state of a system in classical mechanics can be uniquely reconstructed if we know the positions and the momenta of all its parts. In 1958 Pauli has conjectured that the same holds for quantum mechanical systems. The conjecture turned out to be wrong. In this paper we provide a new set of examples of Pauli pairs, being the pairs of quantum states indistinguishable by measuring the spatial location and momentum. In particular, we construct a new set of spatially localized Pauli pairs.

Original language	English
Number of pages	12
Journal	Journal of Mathematical Physics
Volume	54
Issue number	3
DOIs	https://doi.org/10.1063/1.4794087
Publication status	Published - 2013

Keywords

Fourier transform, Pauli pairs

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On Pauli pairs
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On Pauli pairs

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