Published July 1, 2005 | Version v1
Journal article Metadata-only

A transfer matrix method for the analysis of fractal quantum potentials

Creators

  • 1. Departamento de Fisica Aplicada, Universidad Politecnica de Valencia, E-46022 Valencia (Spain)
  • 2. Departamento de Lenguajes y Ciencias de la Computacion, Universidad de Malaga, E-29071 Malaga (Spain)
  • 3. Departamento de Termodinamica, Universitat de Valencia, E-46100 Burjassot (Spain)
  • 4. Departamento de Matematica Aplicada, Universidad Politecnica de Valencia, E-46022 Valencia (Spain)

Description

The scattering properties of quantum particles on a sequence of potentials converging towards a fractal one are obtained by means of the transfer matrix method. The reflection coefficients for both the fractal potential and finite periodic potential are calculated and compared. It is shown that the reflection coefficient for the fractal potential has a self-similar structure associated with the fractal distribution of the potential whose degree of self-similarity has been quantified by means of the correlation function

Availability note (English)

Available online at http://stacks.iop.org/0143-0807/26/603/ejp5_4_005.pdf or at the Web site for the journal European Journal of Physics (ISSN 1361-6404) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0143-0807/26/603/ejp5_4_005.pdf; http://www.iop.org/;
DOI
10.1088/0143-0807/26/4/005;
PII
S0143-0807(05)89918-0;

Publishing Information

Journal Title
European Journal of Physics
Journal Volume
26
Journal Issue
4
Journal Page Range
p. 603-610
ISSN
0143-0807
CODEN
EJPHD4

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36099183
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CORRELATION FUNCTIONS; FRACTALS; PERIODICITY; POTENTIALS; QUANTUM MECHANICS; REFLECTION; SCATTERING; TRANSFER MATRIX METHOD
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MECHANICS; VARIATIONS