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Numerically Efficient Computation of Eigensolution Spectrum in One-Dimensional Heterostructures

Author

Listed:
  • F. Farrelly

    (Dipartimento di Energetica, Università di Roma "La Sapienza", via Scarpa 14, 00161 Roma, Italy;
    Consiglio Nazionale delle Ricerche, Istituto di Acustica "O.M. Corbino", v. del Fosso del Cavaliere, 100, 00133 Roma, Italy)

  • A. Petri

    (Consiglio Nazionale delle Ricerche, Istituto di Acustica "O.M. Corbino", v. del Fosso del Cavaliere, 100, 00133 Roma, Italy;
    I.N.F.N., Istituto Nazionale di Fisica Nucleare, Sez. di Perugia, Perugia, Italy)

Abstract

We describe a method that allows an efficient determination of the density of states of one-dimensional heterostructures. We show that the propagation of an appropriate vector through the structure together with the use of the node theorem is much more effective than transfer matrix methods in those cases in which highly degenerate spectra are present. As a by-product, spatial behavior of solutions is also easily obtained. A case of elastic propagation is discussed in detail and application to Schrödinger's equation is presented.

Suggested Citation

  • F. Farrelly & A. Petri, 1998. "Numerically Efficient Computation of Eigensolution Spectrum in One-Dimensional Heterostructures," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(07), pages 927-934.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:07:n:s0129183198000893
    DOI: 10.1142/S0129183198000893
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