Ruprecht-Karls-Universität Heidelberg
University of HeidelbergFaculty of Physics and AstronomyInstitut of Theoretical PhysicsAndreas MielkeAndreas Mielkeemail

Andreas Mielke
Institut for Theoretical Physics
Ruprecht-Karls University
Philosophenweg 19
D-69120 Heidelberg
Germany
Tel.: ++49 6221 549431 (Secretary)
Fax: ++49 6221 549331
e-mail: mielke@tphys.uni-heidelberg.de


Andreas Mielke: Flow equations for band-matrices
Euro. Phys. Jour. B5, 605-611 (1998) .

Archiv: quant-ph/9803040

Abstract

Continuous unitary transformations can be used to diagonalize or approximately diagonalize a given Hamiltonian. In the last four years, this method has been applied to a variety of models of condensed matter physics and field theory. With a new generator for the continuous unitary transformation proposed in this paper one can avoid some of the problems of former applications. General properties of the new generator are derived. It turns out that the new generator is especially useful for Hamiltonians with a banded structure. Two examples, the Lipkin model, and the spin-boson model are discussed in detail.

BibTeX-entry

@article{Mielke1998,
author="Andreas Mielke",
title="Flow equations for band-matrices",
journal="Euro. Phys. Jour. B",
volume="5",
pages="605-611",
year="1998"
}

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Last changes: 15.11.2017. mielke@tphys.uni-heidelberg.de