A theorem on infinite products of eigenvalues of Sturm-Liouville type operators
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- by S. Levit and U. Smilansky PDF
- Proc. Amer. Math. Soc. 65 (1977), 299-302 Request permission
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.References
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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.
M. C. Gutzwiller, J. Math. Phys. 8 (1967), p. 1979.
- S. Levit and U. Smilansky, A new approach to Gaussian path integrals and the evaluation of the semiclassical propagator, Ann. Physics 103 (1977), no. 1, 198–207. MR 438920, DOI 10.1016/0003-4916(77)90269-X
- Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774 H. Poincaré, Acta Math. 4 (1884), p. 213.
- Marston Morse, The calculus of variations in the large, American Mathematical Society Colloquium Publications, vol. 18, American Mathematical Society, Providence, RI, 1996. Reprint of the 1932 original. MR 1451874, DOI 10.1090/coll/018
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 299-302
- MSC: Primary 34B25; Secondary 34E99
- DOI: https://doi.org/10.1090/S0002-9939-1977-0457836-8
- MathSciNet review: 0457836