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On the determination of energy eigenvalues and coupling strengths using duality

✍ Scribed by J Pasupathy


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
900 KB
Volume
153
Category
Article
ISSN
0003-4916

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✦ Synopsis


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 anharmanic 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.


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