Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
27 (1986), S. 2188-2202
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The investigation of the spectrum of the simplified differential equation describing the variation of the amplitude of the ideal MHD ballooning instability along magnetic field lines constitutes a multiparameter Schrödinger eigenvalue problem. An exact eigenvalue relation for the discrete part of the spectrum is obtained in terms of the oblate spheroidal functions. The dependence of the eigenvalues λ on the two free parameters γ2 and μ2 of the equation is discussed, together with certain analytical approximations in the limits of small and large γ2. A brief review of the principal properties of the spheroidal functions is given in an appendix.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.526987
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