A matrix Kato-Bloch perturbation method for Hamiltonian systems

S. Moukouri

doi:10.1016/j.physleta.2004.03.066

A matrix Kato-Bloch perturbation method for Hamiltonian systems

S. Moukouri

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

4 Scopus citations

Abstract

A generalized version of the Kato-Bloch perturbation expansion is presented. It consists of replacing simple numbers appearing in the perturbative series by matrices. It is shown that the matrix expansion converges for a suitably chosen subspace and, for weakly coupled Heisenberg chains, it can lead to an ordered state starting from a disordered single chain.

Original language	English
Pages (from-to)	177-181
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	325
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physleta.2004.03.066
State	Published - 17 May 2004
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2004.03.066

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title = "A matrix Kato-Bloch perturbation method for Hamiltonian systems",

abstract = "A generalized version of the Kato-Bloch perturbation expansion is presented. It consists of replacing simple numbers appearing in the perturbative series by matrices. It is shown that the matrix expansion converges for a suitably chosen subspace and, for weakly coupled Heisenberg chains, it can lead to an ordered state starting from a disordered single chain.",

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AB - A generalized version of the Kato-Bloch perturbation expansion is presented. It consists of replacing simple numbers appearing in the perturbative series by matrices. It is shown that the matrix expansion converges for a suitably chosen subspace and, for weakly coupled Heisenberg chains, it can lead to an ordered state starting from a disordered single chain.

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M3 - Article

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SN - 0375-9601

VL - 325

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

A matrix Kato-Bloch perturbation method for Hamiltonian systems

Abstract

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