English

An introduction to numerical methods in low-dimensional quantum systems

Strongly Correlated Electrons 2007-05-23 v1 Statistical Mechanics

Abstract

This is an introductory course to the Lanczos Method and Density Matrix Renormalization Group Algorithms(DMRG), two among the leading numerical techniques applied in studies of low-dimensional quantum models. The idea of studying the models on clusters of a finite size in order to extract their physical properties is briefly discussed. The important role played by the model symmetries is also examined. Special emphasis is given to the DMRG.

Keywords

Cite

@article{arxiv.cond-mat/0304375,
  title  = {An introduction to numerical methods in low-dimensional quantum systems},
  author = {A. L. Malvezzi},
  journal= {arXiv preprint arXiv:cond-mat/0304375},
  year   = {2007}
}

Comments

36 pages, 4 figures, standard LaTex, Brazilian School on Statistical Mechanics (2002), PDF and PS files available at http://www.sbf.if.usp.br/bjp