Published September 3, 2010 | Version v1
Journal article Metadata-only

Role of a phase factor in the boundary condition of a one-dimensional junction

Creators

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

Description

One-dimensional quantum systems can be experimentally studied in recent nanotechnology like the carbon nanotube and the nanowire. We have considered the mathematical model of a one-dimensional Schroedinger particle with a junction and have analyzed the phase factor in the boundary condition of the junction. We have shown that the phase factor in the tunneling case appears in the situation of the non-adiabatic transition with the three energy levels in the exact Wentzel-Kramers-Brillouin analysis.

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/43/35/354010

Additional details

Identifiers

DOI
10.1088/1751-8113/43/35/354010;
PII
S1751-8113(10)45286-5;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
43
Journal Issue
35
Journal Page Range
[17 p.]
ISSN
1751-8121

Conference

Title
Conference on 50 years of the Aharonov-Bohm Effect; Conference on Aharonov-Bohm Effect and Berry Phase 50/25 anniversary
Dates
11-14 Oct 2009; 14-15 Dec 2009
Place
Tel Aviv (Israel); Bristol (United Kingdom)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42036941
Subject category
S77: NANOSCIENCE AND NANOTECHNOLOGY;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BOUNDARY CONDITIONS; CARBON; ENERGY LEVELS; MATHEMATICAL MODELS; NANOTUBES; ONE-DIMENSIONAL CALCULATIONS; POWER FACTOR; QUANTUM WIRES; TUNNEL EFFECT; WKB APPROXIMATION
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; DIMENSIONLESS NUMBERS; ELEMENTS; NANOSTRUCTURES; NONMETALS