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Path Integrals and Continuum Fröhlich Polarons

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Path Integrals

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 34))

Synopsis

In this set of lectures, the physics of Fröhlich polarons is discussed in terms of the Feynman approach to the polaron problem. Attention is given to the implicit introduction of the polaron center of gravity in the action by elimination of the phonon variables. The variational principle introduced by Feynman is discussed and a connection with approximants of Stieltjes integrals is indicated. The accuracy of the groundstate energy of the Feynman model is tested, using an exactly soluble one-dimensional model. The linear response of polarons is considered. The dynamical aspects are investigated on physical as well as mathematical consistency requirements. The path integral approach to linear response is compared with self-consistent solutions of the Heisenberg equations of motion for the polaron. The static aspects of the lenart response are considered and the 3/2 kT controversy of the mobility is discussed critically.

Work performed in the framework of the project E.S.I.S. (Electronic Structure in Solids) of the University of Antwerpen and the University of Liège.

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Author information

Authors and Affiliations

  1. Institute of Applied Mathematics, R.U.C.A., Groenenborgerlaan 171, B-2020, Antwerpen, Belgium

    J. T. Devreese

  2. Dept. Natuurkunde, Universitaire Instelling Antwerpen, B-2610, Wilrijk, Belgium

    J. T. Devreese

Authors
  1. J. T. Devreese
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Editor information

Editors and Affiliations

  1. University of Athens, Athens, Greece

    George J. Papadopoulos

  2. State University of Antwerp, Antwerp, Belgium

    J. T. Devreese

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Devreese, J.T. (1978). Path Integrals and Continuum Fröhlich Polarons. In: Papadopoulos, G.J., Devreese, J.T. (eds) Path Integrals. NATO Advanced Study Institutes Series, vol 34. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9140-1_10

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  • DOI: https://doi.org/10.1007/978-1-4684-9140-1_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9142-5

  • Online ISBN: 978-1-4684-9140-1

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