Abstract
Weyl's complex eigenvalue theory is examined with respect to analyticity properties of solutions and associated Green's functions. Numerical aspects are discussed and some applications in quantum chemistry reviewed.
Keywords
- Hard Core
- Order Differential Equation
- Complex Pole
- Limit Point Case
- Limit Circle Case
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IV References
H. Weyl, Math. Ann. 68, 220 (1910).
E. Schrödinger, Ann. Phys. (Leipz.) (4) 80, 437 (1926).
M. Hehenberger, H.V. McIntosh, and E. Brändas, Phys. Rev. A 10, 1494 (1974).
M. Hehenberger, B. Laskowski, and E. Brändas, J. Chem. Phys. 65. 4559 (1976).
M. Hehenberger, P. Froelich, and E. Brändas, J. Chem. Phys. 65, 4571 (1976).
Z. S. Herman and E. Brändas, Mol. Phys. 29, 1545 (1975).
E.C. Titchmarsh, Eigenfunction Expansions Associated with Second Order Differential Equations. (Clarendon, Oxford, 1946; 1962), Vol. 1, (1958), Vol. II.
E. Brändas, M. Hehenberger and H.V. McIntosh, Int. J. Quant. Chem. 9, 103 (1975).
J. Aguilar and J.M. Combes, Commun. Math. Phys. 22, 269 (1971).
E. Balslev and J.M. Combes, Commun. Math. Phys. 22, 280 (1971).
B. Simon, Ann. Math. 97, 247 (1973).
E. Brändas and P. Froelich, Phys. Rev. A16, 2207 (1977).
W.G. Stwalley, J. Chem. Phys. 63, 3062 (1975).
N. Elander, M. Hehenberger and P.R. Bunker, Phys. Scripta 20, 631 (1979).
K. Kodaira, Amer. J. Math. 71, 921 (1949).
I. Chaudhuri and W.N. Everitt, Proc. Roy. Soc. Edinburgh (A) 68, 95 (1968).
H.V. McIntosh, Semniar Notes (unpublished) Uppsala Quantum Chemistry Group, (1971, 72).
E. Brändas and M. Hehenberger, in Lecture Notes in Mathematics. A. Dold and B. Eckmann, Eds. (Springer-Verlag, Berlin, 1974), Vol. 415, 316.
H.J. Stetter, private communication.
P. Erman, Chem. Rev. (in press) (1980).
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© 1982 Springer-Verlag
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Brändas, E. (1982). Weyl's theory for second order differential equations and its application to some problems in quantum chemistry. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064879
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DOI: https://doi.org/10.1007/BFb0064879
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Print ISBN: 978-3-540-11970-8
Online ISBN: 978-3-540-39374-0
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