Open AccessTransmission resonance for a Klein-Gordon particle in one-dimensional Hulthén potential barrier
Author(s) -
Min-Cang Zhang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.5961
Subject(s) - transmission coefficient , resonance (particle physics) , klein–gordon equation , reflection coefficient , reflection (computer programming) , scattering , rectangular potential barrier , transmission (telecommunications) , physics , boundary value problem , hypergeometric function , mathematical analysis , mathematical physics , condensed matter physics , quantum mechanics , optics , mathematics , nonlinear system , telecommunications , computer science , programming language
The Klein-Gordon equation in the presence of a spatially one-dimensional Hulthén potential barrier is solved and the scattering state solutions are obtained in terms of the hypergeometric functions. Both the reflection coefficient and transmission coefficient are calculated from the boundary condition of Klein-Gordon equation and the conditions for transmission resonance are then derived.The result shows that when the reflection coefficient is zero the transmission resonance takes place.