Scattering matrix approach to direct solution of the Schrödinger equation

R. Akis, D. K. Ferry

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We discuss a numerically stable method, the Usuki method, which is closely related to both the scattering matrix approach and recursive Green's functions. This approach provides a viable approach to directly solving the Schrödinger equation in simulations of semiconductor devices. It has a major advantage over the Green's function in that the electron density can be obtained far more efficiently for use in the self-consistent loop. Various applications of this approach have been studied, although here we focus upon the application of the method to study MOSFETS.

Original languageEnglish (US)
Pages (from-to)232-236
Number of pages5
JournalJournal of Computational Electronics
Issue number3-4
StatePublished - Dec 1 2009


  • Devices
  • Quantum simulation
  • Semiconductor

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Modeling and Simulation
  • Electrical and Electronic Engineering


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