Published May 17, 2004 | Version v1
Journal article

A matrix Kato-Bloch perturbation method for Hamiltonian systems

Creators

Description

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

Additional details

Identifiers

DOI
10.1016/j.physleta.2004.03.066;
arXiv
arXiv:physics/0312011v1;
PII
S0375960104003925;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
325
Journal Issue
3-4
Journal Page Range
p. 177-181
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36092242
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
HAMILTONIANS; HEISENBERG MODEL; MATRICES; PERTURBATION THEORY; SERIES EXPANSION
Descriptors DEC
CRYSTAL MODELS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Optional Information

Copyright
Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.