Flow‐equations for Hamiltonians
作者:
Franz Wegner,
期刊:
Annalen der Physik
(WILEY Available online 1994)
卷期:
Volume 506,
issue 2
页码: 77-91
ISSN:0003-3804
年代: 1994
DOI:10.1002/andp.19945060203
出版商: WILEY‐VCH Verlag
关键词: Many‐particle problem;Flow‐equations;Diagonalization
数据来源: WILEY
摘要:
AbstractFlow‐equations are introduced in order to bring Hamiltonians closer to diagonalization. It is characteristic for these equations that matrix‐elements between degenerate or almost degenerate states do not decay or decay very slowly. In order to understand different types of physical systems in this framework it is probably necessary to classify various types of these degeneracies and to investigate the corresponding physical behavior.In general these equations generate many‐particle interactions. However, for ann‐orbital model the equations for the two‐particle interaction are closed in the limit of largen.Solutions of these equations for a one‐dimensional model are considered. There appear convergency problems, which are removed, if instead of diagonalization only a block‐diagonalization into blocks with the same number of quasiparticles
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