Theorems on separability in Riemannian $n$-space
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- by Parry Moon and Domina Eberle Spencer PDF
- Proc. Amer. Math. Soc. 3 (1952), 635-642 Request permission
References
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Paul Stäckel, Über die Integration der Hamilton-Jacobischen Differentialgleichung mittels Separation der Variabelen, Habilitationsschrift, Halle, 1891.
—, Sur une classe de problèmes de dynamique, C.R. Acad. Sci. Paris vol. 116 (1893) p. 485.
—, Über die Integration der Hamiltonschen Differentialgleichung mittels Separation der Variabelen, Math. Ann. vol. 49 (1897) p. 145.
H. P. Robertson, Bemerkung über separierbare Systeme in der Wellenmechanik, Math. Ann. vol. 98 (1927) p. 749.
- Luther Pfahler Eisenhart, Separable systems of Stackel, Ann. of Math. (2) 35 (1934), no. 2, 284–305. MR 1503163, DOI 10.2307/1968433 —, Stäckel systems in conformal euclidean space, Ann. of Math. vol. 36 (1935) p. 57. P. M. Morse and H. Feshbach, Methods of theoretical physics, Cambridge, Technology Press, 1946.
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 635-642
- MSC: Primary 36.0X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0049439-7
- MathSciNet review: 0049439