Classical-quantum limits

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We introduce a new approach to analyzing the interaction between classical and quantum systems that is based on a limiting procedure applied to multi-particle Schrödinger equations. The limit equations obtained by this procedure, which we refer to as the classical-quantum limit, govern the interaction between classical and quantum systems, and they possess many desirable properties that are inherited in the limit from the multi-particle quantum system. As an application, we use the classical-quantum limit equations to identify the source of the non-local signalling that is known to occur in the classical-quantum hybrid scheme of Hall and Reginatto. We also derive the first order correction to the classical-quantum limit equation to obtain a fully consistent first order approximation to the Schrödinger equation that should be accurate for modeling the interaction between particles of disparate mass in the regime where the particles with the larger masses are effectively classical.
LanguageEnglish
Pages1551-1572
Number of pages22
JournalFoundations of Physics
Volume46
Issue number12
DOIs
Publication statusPublished - Dec 2016

Keywords

  • Classical limit
  • Foundations of quantum mechanics
  • Quantum-classical hybrids
  • Semiclassical physics

Cite this

Oliynyk, Todd A. / Classical-quantum limits. In: Foundations of Physics. 2016 ; Vol. 46, No. 12. pp. 1551-1572.
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Classical-quantum limits. / Oliynyk, Todd A.

In: Foundations of Physics, Vol. 46, No. 12, 12.2016, p. 1551-1572.

Research output: Contribution to journalArticleResearchpeer-review

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