Real Space Renormalization Group Techniques and Applications

Details Real Space Renormalization Group Techniques and Applications Real Space Renormalization Group Techniques and Applications

2002-07-13

arxiv.org/abs/cond-mat/0207340v1

Physics

Condensed Matter

Statistical Mechanics

Ph.D. memory of the author, supervised by M.A. Martin-Delgado and G. Sierra. Pure TeX, 160 pages

Scientific paper

Real Space Renormalization Group (RSRG) techniques and their applications, mainly to quantum mechanics and to partial differential equations, are discussed. Special emphasis is given to the theoretical insight and the reasons for the success of some techniques, specially DMRG. Applications to the spectrum of dendrimers and excitons on random media are considered. This work is the Ph.D. of the author. Almost all the results have already been published. The main interest of this text is paedagogical and as a review.

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