Perturbation expansions for quantum many-body systems

Martin P. Gelfand; Rajiv R.P. Singh; David A. Huse

doi:10.1007/BF01334744

Perturbation expansions for quantum many-body systems

Martin P. Gelfand, Rajiv R.P. Singh, David A. Huse

Research output: Contribution to journal › Article › peer-review

139 Scopus citations

Abstract

A systematic method for developing high-order, zero-temperature perturbation expansions for quantum many-body systems is presented. The models discussed explicitly are spin models with a variety of interactions, in one and two dimensions. The wide applicability of the method is illustrated by expansions around Hamiltonians with ordered and disordered ground states, namely Ising and dimerized models. Computer implementation of this method is discussed in great detail. Some previously unpublished series are tabulated.

Original language	English (US)
Pages (from-to)	1093-1142
Number of pages	50
Journal	Journal of Statistical Physics
Volume	59
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01334744
State	Published - Jun 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Quantum antiferromagnets
low-dimensional magnetism
many-body theory
series expansions

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10.1007/BF01334744

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abstract = "A systematic method for developing high-order, zero-temperature perturbation expansions for quantum many-body systems is presented. The models discussed explicitly are spin models with a variety of interactions, in one and two dimensions. The wide applicability of the method is illustrated by expansions around Hamiltonians with ordered and disordered ground states, namely Ising and dimerized models. Computer implementation of this method is discussed in great detail. Some previously unpublished series are tabulated.",

keywords = "Quantum antiferromagnets, low-dimensional magnetism, many-body theory, series expansions",

author = "Gelfand, {Martin P.} and Singh, {Rajiv R.P.} and Huse, {David A.}",

year = "1990",

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AU - Gelfand, Martin P.

AU - Singh, Rajiv R.P.

AU - Huse, David A.

PY - 1990/6

Y1 - 1990/6

N2 - A systematic method for developing high-order, zero-temperature perturbation expansions for quantum many-body systems is presented. The models discussed explicitly are spin models with a variety of interactions, in one and two dimensions. The wide applicability of the method is illustrated by expansions around Hamiltonians with ordered and disordered ground states, namely Ising and dimerized models. Computer implementation of this method is discussed in great detail. Some previously unpublished series are tabulated.

AB - A systematic method for developing high-order, zero-temperature perturbation expansions for quantum many-body systems is presented. The models discussed explicitly are spin models with a variety of interactions, in one and two dimensions. The wide applicability of the method is illustrated by expansions around Hamiltonians with ordered and disordered ground states, namely Ising and dimerized models. Computer implementation of this method is discussed in great detail. Some previously unpublished series are tabulated.

KW - Quantum antiferromagnets

KW - low-dimensional magnetism

KW - many-body theory

KW - series expansions

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Perturbation expansions for quantum many-body systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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