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Flow equations and normal ordering: a survey

Franz Wegner

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First we give an introduction to the method of diagonalizing or block-diagonalizing continuously a Hamiltonian and explain how this procedure can be used to analyse the two-dimensional Hubbard model. Then we give a short survey on applications of this flow equation on other models. Finally we outline, how symmetry breaking can be introduced by means of a symmetry breaking of the normal ordering, not of the Hamiltonian.


PACS

05.30.Fk Fermion systems and electron gas

03.65.Yz Decoherence; open systems; quantum statistical methods

MSC

82B28 Renormalization group methods (See also 81T17)

81R40 Symmetry breaking

Subjects

Quantum gases, liquids and solids

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 25 (23 June 2006)

Received 30 November 2005, in final form 8 February 2006

Published 7 June 2006



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