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A dynamical approach to compatible and incompatible questions

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  • Bagarello, F.

Abstract

We propose a natural strategy to deal with compatible and incompatible binary questions, and with their time evolution. The strategy is based on the simplest, non-commutative, Hilbert space H=ℂ2, and on the (commuting or not) operators on it. As in ordinary Quantum Mechanics, the dynamics is driven by a suitable operator, the Hamiltonian of the system. We discuss a rather general situation, and analyse the resulting dynamics if the Hamiltonian is a simple Hermitian matrix.

Suggested Citation

  • Bagarello, F., 2019. "A dynamical approach to compatible and incompatible questions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307484
    DOI: 10.1016/j.physa.2019.121282
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