Numerically Efficient Computation of Eigensolution Spectrum in One-Dimensional Heterostructures

F. Farrelly and A. Petri
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F. Farrelly: Dipartimento di Energetica, Università di Roma "La Sapienza", via Scarpa 14, 00161 Roma, Italy;
A. Petri: Consiglio Nazionale delle Ricerche, Istituto di Acustica "O.M. Corbino", v. del Fosso del Cavaliere, 100, 00133 Roma, Italy;

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 07, 927-934

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.

Keywords: Wave Equation; Solution Spectrum; Density of State; Eigensolution; One-Dimensional; Numerical Solution (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000893

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