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.

引用

页数：4

共 50 条

[31] Boundary conditions for one-dimensional Feshbach-Villars equation
Merad, M
Chetouani, L
Bounames, A
PHYSICS LETTERS A, 2000, 267 (04) : 225 - 231
[32] The one-dimensional shallow water equations with transparent boundary conditions
Petcu, Madalina
Temam, Roger
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (15) : 1979 - 1994
[33] New Boundary Conditions for One-Dimensional Network Models of Hemodynamics
Simakov, S. S.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021, 61 (12) : 2102 - 2117
[34] ONE-DIMENSIONAL TO ONE-DIMENSIONAL TUNNELING BETWEEN ELECTRON WAVE-GUIDES
EUGSTER, CC
DELALAMO, JA
ROOKS, MJ
MELLOCH, MR
APPLIED PHYSICS LETTERS, 1994, 64 (23) : 3157 - 3159
[35] TUNNELING TIMES FOR ONE-DIMENSIONAL SYSTEMS
GASPARIAN, V
ORTUNO, M
RUIZ, J
CUEVAS, E
POLLAK, M
PHYSICAL REVIEW B, 1995, 51 (10): : 6743 - 6746
[36] TUNNELING IN ONE-DIMENSIONAL IDEAL BARRIERS
KOWALSKI, JM
FRY, JL
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (10) : 2407 - 2415
[37] Boundary effects on Josephson current through one-dimensional Josephson junction arrays
Kato, T
PHYSICAL REVIEW B, 2002, 65 (13) : 1 - 4
[38] Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model
Haddar, H
Joly, P
SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 61 (04) : 1386 - 1417
[39] ONE-DIMENSIONAL MIXTURES OF HARD POINTS WITH STOCHASTIC BOUNDARY-CONDITIONS
GARRIDO, PL
MARRO, J
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (09): : 1355 - 1369
[40] THE ONE-DIMENSIONAL PLASMA REVISITED - THE INFLUENCE OF PERIODIC BOUNDARY-CONDITIONS
SMITH, ER
FORRESTER, PJ
HELVETICA PHYSICA ACTA, 1989, 62 (08): : 1004 - 1021

← 1 2 3 4 5 →