論文

査読有り
2013年

ONE-DIMENSIONAL TUNNEL-JUNCTION FORMULA FOR THE SCHRODINGER PARTICLE

SIAM JOURNAL ON APPLIED MATHEMATICS
  • Masao Hirokawa
  • ,
  • Takuya Kosaka

73
6
開始ページ
2247
終了ページ
2261
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1137/130929072
出版者・発行元
SIAM PUBLICATIONS

We handle all the self-adjoint extensions of the minimal Schrodinger operator for the nonrelativistic electron living in the one-dimensional configuration space with a junction. We are interested in every boundary condition corresponding to the individual self-adjoint extension. Thus, we clarify all the types of those boundary conditions of the wave functions of the nonrelativistic electron. We find concrete tunnel-junction formulae for the nonrelativistic electron passing through the junction, which reveals the phase factor caused by the tunneling through the junction. Using this tunnel-junction formula, we propose a mathematical possibility of a tunnel-junction device for qubit.

Web of Science ® 被引用回数 : 2

リンク情報
DOI
https://doi.org/10.1137/130929072
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000328899700014&DestApp=WOS_CPL
URL
http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000328899700014

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