Some aspects of the convergence behaviour of the Brillouin-Wigner perturbation scheme

Bhattacharyya, Kamal ; Mukherjee, Debashis (1984) Some aspects of the convergence behaviour of the Brillouin-Wigner perturbation scheme Chemical Physics Letters, 111 (4-5). pp. 421-427. ISSN 0009-2614

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000926...

Related URL: http://dx.doi.org/10.1016/0009-2614(84)85533-5

Abstract

The notion of the radius of convergence in the context of Brillouin-Wigner perturbation theory is classified with special reference to finite-dimensional problems. A modified procedure is shown to be more useful for infinite-dimensional problems; in particular this demonstrates the role of scaling in assuring convergence for the ground state. Behaviour of the Brillouin-Wigner energy series for the ground state is illustrated by numerically studying the convergence of a model two-by-two matrix perturbation which is beset by the intruder-state problem.

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ID Code:21893
Deposited On:23 Nov 2010 09:05
Last Modified:05 Mar 2011 12:52

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