One-directional quantum mechanical dynamics and an application to decision making

Fabio Bagarello, Bagarello

Research output: Contribution to journalArticle

Abstract

In recent works we have used quantum tools in the analysis of the time evolution ofseveral macroscopic systems. The main ingredient in our approach is the self-adjointHamiltonian H of the system S. This Hamiltonian quite often, and in particular forsystems with a finite number of degrees of freedom, gives rise to reversible andoscillatory dynamics. Sometimes this is not what physical reasons suggest. We discusshere how to use non self-adjoint Hamiltonians to overcome this difficulty: the timeevolution we obtain out of them show a preferable arrow of time, and it is not reversible.Several applications are constructed, in particular in connection to information dynamics.
Original languageEnglish
Number of pages11
JournalPHYSICA. A
Volume537
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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