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Recent Developments in Condensed Matter Physics pp 243–250Cite as

Intermediate Electronic States in Kronig-Penney Models

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Abstract

Our previous conjecture concerning the existence of certain intermediate — or zigzag electronic states (ZZS) in crystalline and almost crystalline (even disordered) polymers, biopolymers and solids was studied using finite Kronig-Penney models. A fundamental equation based on recurrence relations was formulated to study the electronic states in end-perturbed bounded chains of one-dimensional potential wells. It was shown that both the finite and the delta potential Kronig-Penney models can have intermediate states as exact solutions of the Schrodinger equation. Thus the possible objection that these states would be merely mathematical by-products of the finite basis (LCAO) approximation, can be ruled out.

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References

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Authors and Affiliations

  1. Central Research Institute of Chemistry, Hungarian Academy of Sciences, P.O.Box 17, H-1525, Budapest 114, Hungary

    G. Biczò

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  1. G. Biczò
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Editor information

Editors and Affiliations

  1. University of Antwerpen (RUCA and UIA), Belgium

    J. T. Devreese (Chairman of the Conference) (Chairman of the Conference)

  2. University of Antwerpen (RUCA), Belgium

    L. F. Lemmens  & V. E. Van Doren  & 

  3. University of Antwerpen (UIA), Belgium

    J. Van Royen

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© 1981 Plenum Press, New York

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Biczò, G. (1981). Intermediate Electronic States in Kronig-Penney Models. In: Devreese, J.T., Lemmens, L.F., Van Doren, V.E., Van Royen, J. (eds) Recent Developments in Condensed Matter Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1086-0_30

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  • DOI: https://doi.org/10.1007/978-1-4684-1086-0_30

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-1088-4

  • Online ISBN: 978-1-4684-1086-0

  • eBook Packages: Springer Book Archive

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