Theoretical and Computational Developments
Interpolant polynomial technique applied to the PPP model. I. Asymptotics for excited states of cyclic polyenes in the finite cyclic Hubbard model
P. Bracken,
J. Čížek,
Corresponding Author
P. Bracken
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, CanadaSearch for more papers by this authorJ. Čížek
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Search for more papers by this authorP. Bracken,
J. Čížek,
Corresponding Author
P. Bracken
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, CanadaSearch for more papers by this authorJ. Čížek
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Search for more papers by this authorFirst published: 15 March 1996
Citations: 7
Abstract
For theoretical reasons, and on account of the development of a new interpolation technique, it is useful and important to examine the asymptotic behavior of the solution to the one-dimensional Hubbard model. In this article, it is shown how perturbative expansions for the energy can be developed in the asymptotic region of the relevant coupling for all the relevant excited states of cyclic polyene rings. © 1996 John Wiley & Sons, Inc.
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