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On representing observables in quantum mechanics

D A Dubin1, M A Hennings2, P Lahti3 and J P Pellonpää3

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There are self-adjoint operators which determine both spectral and semispectral measures. These measures have very different commutativity and covariance properties. This fact opens additional possibilities with regard to the physical meaning of such a self-adjoint operator and its associated operator measures.


PACS

03.65.Ta Foundations of quantum mechanics; measurement theory

02.30.Tb Operator theory

MSC

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis

47B25 Symmetric and selfadjoint operators (unbounded)

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 43 (1 November 2002)

Received 24 June 2002, in final form 2 September 2002

Published 15 October 2002



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