Abstract
A notion of the state in classical and in quantum physics is discussed. Several classes of continuous linear functionals over different algebras of formal series are introduced. The condition of nonnegativity of functionals over the * algebra is analysed.
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Tosiek, J. (2019). States in Deformation Quantisation: Hopes and Difficulties. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVI. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01156-7_15
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DOI: https://doi.org/10.1007/978-3-030-01156-7_15
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-01155-0
Online ISBN: 978-3-030-01156-7
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