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Renormalization group in quantum mechanics at zero and finite temperature
P Gosselin1, H Mohrbach, A Bérard
1Université Grenoble I, Institut Fourier, UMR 5582 CNRS-UJF, UFR de Mathématiques, Boîte Postale 74, 38402 Saint Martin d'Hères Cedex, France.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
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.