Avoided crossings of the quartic oscillator

Journal of Physics A: Mathematical and General

Volumn 30, Issue 9, 1997, Pages 3057-3067

  Karlheinz, Bay ^a   Wolfgang, Lay ^a   Akopyan, Alexey ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039572583     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/9/017     Document Type: Article

References (19)

1. Bay K and Lay W The spectrum of the quartic oscillator J. Math. Phys. accepted for publication
2. Bay K 1993 Numerische Analysis von Zweipunkt-Verbindungsproblemen der Mathieuschen Differentialgleichung Diploma Thesis Institut für Theoretische und Angewandte Physik Universität Stuttgart
3. Bieberbach L 1965 Theorie der Gewöhnlichen Differentialgleichungen (Berlin: Springer)
4. Birkhoff G D 1930 Formal theory of irregular linear difference equations Acta Math. 54 205-46
5. Grozdanov T P and Solov'ev E A 1990 Nonadiabatic transitions in atomic collisions Phys. Rev. A 42 2703-18
6. Jaffé G 1933 Zur Theorie des Wasserstoffmolekülions Z. Phys. 87 535-44
7. Knopp K 1964 Theorie und Anwendung der unendlichen Reihen (Berlin: Springer)
8. Komarov I V and Slavyanov S Yu 1968 The two Coulomb centres problem at large center separation J. Phys. B: At. Mol. Phys. 1 1066-72
9. Lay W 1997 The quartic oscillator J. Math. Phys. 38 1-9
10. Lay W 1995 Das zentrale Zweipunkt-Verbindungsproblem für die Klasse der Heunschen Differentialgleichungen Habilitation Thesis Institut für Theoretische und Angewandte Physik, Universität Stuttgart
11. Lay W 1994 The central two-point connection problem of Heun's class of differential equations Theoretical and Mathematical Physics 101 1413-18
12. Lay W, Kazakov A Ya and Slavyanov S Yu 1996 Equivalent eigenvalue problems for the differential equations of Heun's class Algebra and Analysis 8 129-41
13. Leaver E W 1986 Solutions to a generalized spheroidal wave equation: Teukolsky's equations in general relativity, and the two-center problem in molecular quantum mechanics J. Math. Phys. 27 1238-65
14. 8+ Phys. Rev. A 48 432-41
15. Ronveaux A (ed) 1995 Heun's Differential Equations (Oxford: Oxford University Press)
16. Slavyanov S Yu and Veshev N A Structure of avoided crossings for eigenvalues related to equations of Heun's class J. Phys. A: Math. Gen. 30 673-87
17. Solov'ev E A 1989 Nonadiabatic transitions in atomic collisions Sov. Phys.-Usp. 32 228-50
18. Solov'ev E A 1981 Ioniozation of a hydrogen-like atom by slow ions Sov. Phys.-JETP 54 893-8
19. Wimp J 1984 Computations with Recurrence Relations (Boston, MA: Pitman)