Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
29 (1988), S. 2250-2253
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In a previous paper [D. L. Huestis, J. Math. Phys. 16, 2148 (1975)] a superposition principle was developed that allows the representation of an arbitrary wave function in an explicit uniformly convergent expansion over the discrete Siergert states for finite-range potentials. Possible difficulties were identified that could arise for special values of the potential strength due to degeneracy of the complex Siegert eigenvalues or vanishing of the norm of the Siegert state. In this paper these difficulties are addressed. By generalizing the Siegert eigenvalue problem, distinct orthogonal eigenfunctions with nonvanishing norm are obtained, recompleting the Siegert basis.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528155
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