$O^*$-algebras and quantum dynamics: some existence results

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Abstract

We discuss the possibility of defining an algebraic dynamics within the settings of O -algebras. Compared to our previous results on this subject, the main improvement here is that we are not assuming the existence of some Hamiltonian for the full physical system. We will show that, under suitable conditions, the dynamics can still be defined via some limiting procedure starting from a given regularized sequence. © 2008 American Institute of Physics.
Lingua originaleEnglish
pagine (da-a)053522-1-053522-14
Numero di pagine14
RivistaJournal of Mathematical Physics
Volume49
Stato di pubblicazionePublished - 2008

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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