Renormalization group in quantum mechanics at zero and finite temperature

Pierre Gosselin, Hervé Mohrbach, and Alain Bérard
Phys. Rev. E 64, 046129 – Published 26 September 2001
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Abstract

We apply the renormalization group formalism, to integrate quantum fluctuations of quantum mechanical systems at zero and finite temperature. At zero temperature a nonperturbative renormalization group equation allows to compute the ground state energy whereas at finite temperature a variational renormalization group equation is proposed to compute the free energy.

  • Received 7 November 2000

DOI:https://doi.org/10.1103/PhysRevE.64.046129

©2001 American Physical Society

Authors & Affiliations

Pierre Gosselin1, Hervé Mohrbach2, and Alain Bérard3

  • 1Université Grenoble I, Institut Fourier, UMR 5582 CNRS-UJF, UFR de Mathématiques, Boîte Postale 74, 38402 Saint Martin d’Hères Cedex, France
  • 2Institut Charles Sadron, CNRS UPR 022, 6 rue Boussingault, 67083 Strasbourg Cedex, France
  • 3LPLI Institut de Physique, 1 Boulevard D. Arago, F-57070 Metz, France

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Issue

Vol. 64, Iss. 4 — October 2001

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