Bohmian measures and their classical limit

Peter Markowich*, Thierry Paul, Christof Sparber

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We consider a class of phase space measures, which naturally arise in the Bohmian interpretation of quantum mechanics. We study the classical limit of these so-called Bohmian measures, in dependence on the scale of oscillations and concentrations of the sequence of wave functions under consideration. The obtained results are consequently compared to those derived via semi-classical Wigner measures. To this end, we shall also give a connection to the theory of Young measures and prove several new results on Wigner measures themselves. Our analysis gives new insight on oscillation and concentration effects in the semi-classical regime.

Original languageEnglish (US)
Pages (from-to)1542-1576
Number of pages35
JournalJournal of Functional Analysis
Volume259
Issue number6
DOIs
StatePublished - Sep 2010
Externally publishedYes

Keywords

  • Bohmian mechanics
  • Classical limit
  • Quantum mechanics
  • Weak convergence
  • Wigner function
  • Young measures

ASJC Scopus subject areas

  • Analysis

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