Effective potentials from semiclassical truncations

Bekir Baytaş, Martin Bojowald, and Sean Crowe
Phys. Rev. A 99, 042114 – Published 18 April 2019

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.

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  • Received 4 November 2018

DOI:https://doi.org/10.1103/PhysRevA.99.042114

©2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Bekir Baytaş*, Martin Bojowald, and Sean Crowe

  • Department of Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

  • *bub188@psu.edu
  • bojowald@gravity.psu.edu
  • stc151@psu.edu

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Issue

Vol. 99, Iss. 4 — April 2019

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