Published October 2020 | Version v1
Journal article

Scattering of a Klein-Gordon particle by a smooth barrier

  • 1. Yachay Tech Univ., School of Physical Sciences and Nanotechnology, Urcuquí (Ecuador)

Description

We present a study of the one-dimensional Klein-Gordon equation by a smooth barrier. The scattering solutions are given in terms of the Whittaker Mκ,μ(x) function. The reflection and transmission coefficients are calculated in terms of the energy, the height, and the smoothness of the potential barrier. For any value of the smoothness parameter we observed transmission resonances. (author)

Availability note (English)

Available from DOI: https://dx.doi.org/10.1139/cjp-2019-0614

Additional details

Identifiers

Publishing Information

Journal Title
Canadian Journal of Physics
Journal Volume
98
Journal Issue
10
Journal Page Range
p. 939-943
ISSN
0008-4204

INIS

Country of Publication
Canada
Country of Input or Organization
Canada
INIS RN
52020189
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
KLEIN-GORDON EQUATION; POTENTIALS; REFLECTION; SCATTERING; TRANSMISSION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Notes
25 refs., 7 figs.