On Pauli pairs

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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 languageEnglish
Number of pages12
JournalJournal of Mathematical Physics
Volume54
Issue number3
DOIs
Publication statusPublished - 2013

Keywords

  • Fourier transform, Pauli pairs

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