Abstract
It is shown that some exactly solvable discrete spectral problems admit interpretation in terms of a simultaneous solution of an auxiliary equation and its continuous symmetry.
Similar content being viewed by others
References
S. Yu. Dubov and V. M. Eleonskii,Zh. Eksp. Teor. Fiz.,102, 819 (1992).
A. P. Veselov and A. B. Shabat,Funktsional. Analiz i Ego Prilozhen.,27 (1993).
V. É. AdlerFunktsional. Analiz i Ego Prilozhen.,27 (1993).
E. Kamke,Differentialgleichungen, Lösungsmethoden und Lösungen, Bd. 1, Gewöhnliche Differentialgleichungen [in German], Akademische Verlagsgesellschaft, Leipzig (1942); reprinted Chelsea, New York (1971).
E. G. Kalnins, R. D. Levine, and W. Miller, Jr.,Mechanics, Analysis, and Geometry: 200 Years after Lagrange, Elsevier Science Publishers B. V. (1991), p. 237.
Additional information
Institute of Mathematics with Computational Center, Ufa Scientific Center, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 1, pp. 66–68, October, 1994.
Rights and permissions
About this article
Cite this article
Kudashev, V.R. The role of continuous symmetries in exactly solvable discrete problems. Theor Math Phys 101, 1205–1206 (1994). https://doi.org/10.1007/BF01079257
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01079257