A theorem on infinite products of eigenvalues of Sturm-Liouville type operators-Reference-Cited by-同舟云学术

A theorem on infinite products of eigenvalues of Sturm-Liouville type operators

Published:1977 Issue:2 Volume:65 Page:299-302
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Levit S.,Smilansky U.

Abstract

Infinite products of ratios of eigenvalues of Sturm-Liouville operators are expressed in a closed form in terms of corresponding solutions of initial-value problems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-065-02/S0002-9939-1977-0457836-8/S0002-9939-1977-0457836-8.pdf

Reference6 articles.

1. R. P. Feynman and A. R. Hibbs, Quantum mechanics and path integrals, McGraw-Hill, New York, 1965. I. M. Gel’fand and A. M. Yaglom, J. Math. Phys. 1 (1960), p. 48.

2. M. C. Gutzwiller, J. Math. Phys. 8 (1967), p. 1979.

3. A new approach to Gaussian path integrals and the evaluation of the semiclassical propagator;Levit, S.;Ann. Physics,1977

4. H. Poincaré, Acta Math. 4 (1884), p. 213.

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