Scattering theory for quasi-one-dimensional tunneling structures

A. M. Kriman, D. K. Ferry

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Quantum theoretical studies of semiconductor microstructures are most naturally done in terms of one-dimensional scattering states, which are characterized far from a structure by k-dependent reflection and transmission amplitudes. We have investigated these states using integral forms such as the Lippmann-Schwinger equation. These allow us to obtain global properties of the states and provide the basis for a formal scattering theory of the kind that has been developed for the conventional problem of three-dimensional potential scattering. We find orthonormality relations for the scattering states, the one-dimensional analogues of Wigner's inequality and Levinson's theorem, and associated properties of the complex-momentum transmission amplitude.

Original languageEnglish (US)
Pages (from-to)503-507
Number of pages5
JournalSuperlattices and Microstructures
Volume3
Issue number5
DOIs
StatePublished - 1987

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ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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