### Abstract

In this chapter we review methods currently used to perform Monte Carlo calculations for quantum lattice models. A detailed exposition is given of the formalism underlying the construction of the simulation algorithms. We discuss the fundamental and technical difficulties that are encountered and give a concise survey of applications of quantum Monte Carlo methods to various quantum statistical lattice problems. New developments are illustrated and discussed in terms of two many-body problems, the Hubbard and the Heisenberg model.

Original language | English |
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Title of host publication | The Monte Carlo Method in Condensed Matter Physics |

Editors | Professor Dr Kurt Binder |

Publisher | Springer Berlin - Heidelberg |

Pages | 249-284 |

Number of pages | 36 |

ISBN (Print) | 978-3-662-02857-5 978-3-662-02855-1 |

Publication status | Published - 1992 |

### Publication series

Name | Topics in Applied Physics |
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Publisher | Springer Berlin Heidelberg |

### Keywords

- Condensed Matter Physics, Mathematical Methods in Physics, Numerical and Computational Physics

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## Cite this

Raedt, H. D., & Linden, W. V. D. (1992). Quantum Lattice Problems. In P. D. K. Binder (Ed.),

*The Monte Carlo Method in Condensed Matter Physics*(pp. 249-284). (Topics in Applied Physics). Springer Berlin - Heidelberg.