Lecture Notes in Physics

Density-Matrix Renormalization - A New Numerical Method in Physics

Lectures of a Seminar and Workshop held at the Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany, August 24th to September 18th, 1998

Editors: Peschel, I., Wang, X., Kaulke, M., Hallberg, K. (Eds.)

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About this book

This book offers the first comprehensive account of the new method of density matrix renormalization. Recent years have seen enormous progress in the numerical treatment of low-dimensional quantum sytems. With this new technique, which selects a reduced set of basis states via density matrices, it has become possible to treat large systems with amazing accuracy. The method has been applied successfully to a variety of important one-dimensional problems such as spin chains, Kondo models, and correlated electron systems. Extensions to other systems and higher dimensions are currently being developed. The contributions to this book are written by leading experts in the field. The two parts contain an introduction to the subject and a review of physical applications. As a combination of advanced textbook and guide to current research the book should become a standard source for everyone interested in the topic.

Table of contents (24 chapters)

  • Wilson’s numerical renormalization group

    Costi, Theo

    Pages 3-25

  • The Density Matrix Renormalization Group

    Noack, Reinhard M. (et al.)

    Pages 27-66

  • Thermodynamic limit and matrix-product states

    Rommer, Stefan (et al.)

    Pages 67-89

  • A recurrent variational approach

    Martín-Delgado, Miguel A. (et al.)

    Pages 91-125

  • Transfer-matrix approach to classical systems

    Nishino, T. (et al.)

    Pages 127-148

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-3-540-48750-0
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-540-66129-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-3-642-08541-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Density-Matrix Renormalization - A New Numerical Method in Physics
Book Subtitle
Lectures of a Seminar and Workshop held at the Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany, August 24th to September 18th, 1998
Editors
  • Ingo Peschel
  • Xiaoqun Wang
  • Matthias Kaulke
  • Karen Hallberg
Series Title
Lecture Notes in Physics
Series Volume
528
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48750-0
DOI
10.1007/BFb0106062
Hardcover ISBN
978-3-540-66129-0
Softcover ISBN
978-3-642-08541-3
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XVI, 355
Topics