Boundary Conditions in One-dimensional Tunneling Junction

被引：3
|
作者：
Shikano, Yutaka [1 ,2 ]
Hirokawa, Masao [3 ]
机构：
[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, 2-12-1 Oh Okayama, Tokyo 1528551, Japan
[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[3] Okayama Univ, Dept Math, Kita Ku, Okayama 7008530, Japan
来源：
INTERNATIONAL SYMPOSIUM: NANOSCIENCE AND QUANTUM PHYSICS 2011 (NANOPHYS'11) | 2011年 / 302卷
关键词：
D O I：
10.1088/1742-6596/302/1/012044
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
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 Schrodinger system from the viewpoint of functional analysis. From the rigorous analysis, we obtain the interference pattern of the tunneling particle.
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页数：4
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