Flow equations for band--matrices

Details Flow equations for band--matrices Flow equations for band--matrices

1998-03-16

arxiv.org/abs/quant-ph/9803040v1

Physics

Quantum Physics

12 pages, one eps-figure, uses epsfig.sty. Accepted for publication in European Physical Journal

Scientific paper

10.1007/s100510050485

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.

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