Quantum chaos, classical randomness, and Bohmian mechanics

Detlef Dürr, Sheldon Goldstein, Nino Zanghi

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


It is argued that dynamical chaos in quantum mechanics arises solely from the collapse rule applied in measurements. As such it is quite distinct from classical (deterministic) chaos, which arises from the dynamical law itself. It is shown, however, that if the particles of a quantum system are regarded as "real," i.e., if their positions are made part of the state description, one obtains a formulation of quantum theory, Bohmian mechanics, in which "quantum chaos" also arises solely from the dynamical law. Moreover, this occurs in a manner far simpler than in the classical case.

Original languageEnglish (US)
Pages (from-to)259-270
Number of pages12
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Jul 1992

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Bernoulli system
  • Bohmian mechanics
  • Quantum chaos
  • hidden variables
  • quantum randomness
  • sensitive dependence on initial conditions


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