Asymptotic and numeric study of eigenvalues of the double confluent Heun equation

Journal of Physics A: Mathematical and General

Volumn 31, Issue 42, 1998, Pages 8521-8531

  Lay, W ^a   Bay, K ^a   Slavyanov, S Yu ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032561109     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/42/011     Document Type: Article

References (14)

1. Bay K and Lay W 1997 The spectrum of the quartic oscillator J. Math. Phys. 38 2127-31
2. Bay K, Lay W and Akopyan A 1997 Avoided crossings of the quartic oscillator J. Phys. A: Math. Gen. 30 3057-67
3. Kohen I and Slavyanov S Yu 1992 Higher-order semiclassical quantization at small quantum numbers St Petersburg Math. J. 3 355-61
4. Lay W 1994 The central two-point connection problem of Heun's class of differential equations Theor. Math. Phys. 101 1413-18
5. Lay W 1995 Das Zentrale Zweipunkt-Verbindungsproblem für die Klasse der Heunschen Differentialgleichungen Habilitation Thesis Stuttgart
6. Lay W The central two-point connection problem in quantum mechanics Z. Angew. Math. Mech. to be published
7. Fedorjuk MV 1993 Asymptotic Analysis: Linear Ordinary Differential Equations (Berlin: Springer)
8. Schmidt D and Wolf G 1995 Double confluent Heun equation Heun's Differential Equations ed A Ronveaux (Oxford: Oxford University Press)
9. Slavyanov S Yu 1991 Asymptotic Solutions of the One-Dimensional Schrödinger Equation (Leningrad: Leningrad University Press) (in Russian) (Engl. transl. Slavyanov S Yu 1996 Asymptotic Solutions of the One-Dimensional Schrödinger Equation (Trans. Math. Monographs 151) (Providence, RI: American Mathematical Society))
10. Slavyanov S Yu 1991 Asymptotic Solutions of the One-Dimensional Schrödinger Equation (Leningrad: Leningrad University Press) (in Russian) (Engl. transl. Slavyanov S Yu 1996 Asymptotic Solutions of the One-Dimensional Schrödinger Equation (Trans. Math. Monographs 151) (Providence, RI: American Mathematical Society))
11. Slavyanov S Yu, Lay W and Seeger A 1995 Classification Heun's Differential Equations ed A Ronveaux (Oxford: Oxford University Press)
12. Slavyanov S Yu, Lay W and Seeger A 1997 A generalization of the Riemann scheme for equations of the hypergeometric and Heun classes Int. J. Math. Ed. Sci. Technol. 28 641-60
13. Veshev N A and Slavyanov S Yu 1997 Structure of avoided crossings for eigenvalues related to equations of Heun's class J. Phys. A: Math. Gen. 30 673-87
14. Lay W and Slavyanov S Yu 1998 The central two-point connection problem for the Heun class of ODE J. Phys. A: Math. Gen. 31 4249-61