Phase Shifts, the Friedel Sum Rule, Resonant Tunneling through Asymmetric Potentials

Takayuki Mizuno, Mikio Eto, Kiyoshi Kawamura

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3 Citations (Scopus)


Phase shifts are defined for the scattering off an asymmetric potential in a one dimensional space. The Friedel sum rule is derived for such a system, and the resonant tunneling through the asymmetric double-barrier potential is analysed. When the potential goes to symmetric, the newly defined phase shifts do not tend to those defined by Kawabata for the symmetric potential, although the physical quantities expressed in terms of the phase shifts are the same in this limit.

Original languageEnglish
Pages (from-to)2658-2667
Number of pages10
JournalJournal of the Physical Society of Japan
Issue number7
Publication statusPublished - 1994 Jan 1



  • Friedel sum rule
  • asymmetric system
  • double-barrier
  • phase shift
  • resonant tunneling
  • virtual bound state

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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