A dynamical approach to compatible and incompatible questions

Fabio Bagarello, Bagarello

Research output: Contribution to journalArticlepeer-review

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=ℂ 2 , 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.
Original languageEnglish
Pages (from-to)121282-
Number of pages11
JournalPHYSICA. A
Volume527
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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