Published July 20, 2011 | Version v1
Journal article Metadata-only

Boundary Conditions in One-dimensional Tunneling Junction

Creators

  • 1. Department of Physics, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro, Tokyo 152-8551 Japan (Japan)
  • 2. Department of Mathematics, Okayama University, 3-1-1 Tsushima-Naka, Kita, Okayama 700-8530 (Japan)

Description

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 Schroedinger system from the viewpoint of functional analysis. From the rigorous analysis, we obtain the interference pattern of the tunneling particle.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/302/1/012044

Additional details

Identifiers

DOI
10.1088/1742-6596/302/1/012044;

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
302
Journal Issue
1
Journal Page Range
[4 p.]
ISSN
1742-6596

Conference

Title
International symposium 'Nanoscience and Quantum Physics 2011'
Acronym
nanoPHYS'11
Dates
26-28 Jan 2011
Place
Tokyo (Japan)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43068816
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BOUNDARY CONDITIONS; FUNCTIONAL ANALYSIS; INTERFERENCE; ONE-DIMENSIONAL CALCULATIONS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; TUNNEL EFFECT; WKB APPROXIMATION
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS