Boundary conditions in one-dimensional tunneling junction

Yutaka Shikano; Masao Hirokawa

doi:10.1088/1742-6596/302/1/012044

Boundary conditions in one-dimensional tunneling junction

Yutaka Shikano, Masao Hirokawa

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Article number	012044
Journal	Journal of Physics: Conference Series
Volume	302
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/302/1/012044
Publication status	Published - 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1088/1742-6596/302/1/012044

Cite this

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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 Schr{\"o}dinger system from the viewpoint of functional analysis. From the rigorous analysis, we obtain the interference pattern of the tunneling particle.",

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AB - 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.

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JF - Journal of Physics: Conference Series

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Boundary conditions in one-dimensional tunneling junction

Abstract

All Science Journal Classification (ASJC) codes

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