Effective potentials from semiclassical truncations

Bekir Baytaş, Martin Bojowald, Sean Crowe

Research output: Contribution to journalArticle

Abstract

Canonical variables for the Poisson algebra of quantum moments are introduced here, expressing semiclassical quantum mechanics as a canonical dynamical system that extends the classical phase space. New realizations for up to fourth order in moments for a single classical degree of freedom and to second order for a pair of classical degrees of freedom are derived and applied to several model systems. It is shown that these new canonical variables facilitate the derivation of quantum-statistical quantities and effective potentials. Moreover, by formulating quantum dynamics in classical language, these methods result in new heuristic pictures, for instance, of tunneling, that can guide further investigations.

Original languageEnglish (US)
Article number042114
JournalPhysical Review A
Volume99
Issue number4
DOIs
StatePublished - Apr 18 2019

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degrees of freedom
moments
approximation
dynamical systems
quantum mechanics
algebra
derivation

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Baytaş, Bekir ; Bojowald, Martin ; Crowe, Sean. / Effective potentials from semiclassical truncations. In: Physical Review A. 2019 ; Vol. 99, No. 4.
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Effective potentials from semiclassical truncations. / Baytaş, Bekir; Bojowald, Martin; Crowe, Sean.

In: Physical Review A, Vol. 99, No. 4, 042114, 18.04.2019.

Research output: Contribution to journalArticle

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