On the determination of energy eigenvalues and coupling strengths using duality

Pasupathy, J (1984) On the determination of energy eigenvalues and coupling strengths using duality. In: Annals of Physics, 153 (1). pp. 103-121.

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Abstract

The Shifman-Vainshtein-Zakharov method of determining the eigenvalues and coupling strengths, from the operator product expansion, for the current correlation functions is studied in the nonrelativistic context, using the semiclassical expansion. The relationship between the low-lying eigenvalues, and the leading corrections to the imaginary-time Green function is elucidated by comparing systems which have almost identical spectra. In the case of an anharmonic oscillator it is found that with the procedure stated in the paper, that inclusion of more terms to the asymptotic expansion does not show any simple trend towards convergence to the exact values. Generalization to higher partial waves is given. In particular for the P-level of the oscillator, the procedure gives poorer results than for the S-level, although the ratio of the two comes out much better.

Item Type:	Journal Article
Publication:	Annals of Physics
Publisher:	Elsevier science
Additional Information:	Copyright for this article belongs to Elsevier science.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	29 Jan 2010 05:32
Last Modified:	19 Sep 2010 05:47
URI:	http://eprints.iisc.ac.in/id/eprint/23804

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