Boundary conditions in one-dimensional tunneling junction

Yutaka Shikano, Masao Hirokawa

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3 Citations (Scopus)

Abstract

The tunneling effect is first characterized in quantum mechanics. However, the mathematical analysis for the tunneling effect is so complicated. In the conventional sense, the WKB analysis is useful to analyze such effect. Here, we consider the mathematical analysis for the tunneling effect in the one-dimensional Schrödinger system from the viewpoint of functional analysis. From the rigorous analysis, we obtain the interference pattern of the tunneling particle.

Original languageEnglish
Article number012044
JournalJournal of Physics: Conference Series
Volume302
Issue number1
DOIs
Publication statusPublished - Jan 1 2011

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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