English

States in non-associative quantum mechanics: Uncertainty relations and semiclassical evolution

High Energy Physics - Theory 2015-03-31 v1 Mathematical Physics math.MP

Abstract

A non-associative algebra of observables cannot be represented as operators on a Hilbert space, but it may appear in certain physical situations. This article employs algebraic methods in order to derive uncertainty relations and semiclassical equations, based on general properties of quantum moments.

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Cite

@article{arxiv.1411.3710,
  title  = {States in non-associative quantum mechanics: Uncertainty relations and semiclassical evolution},
  author = {Martin Bojowald and Suddhasattwa Brahma and Umut Buyukcam and Thomas Strobl},
  journal= {arXiv preprint arXiv:1411.3710},
  year   = {2015}
}

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23 pages