Analysis of the Numerical Solutions for the Massive Dirac Equation with Electric Potential Employing Biquaternionic Functions

被引：0
|
作者：
Iaeng, A. Bucio R. [1 ]
Martinez-Garza-Garcia, V. [2 ,3 ]
Iaeng, M. P. Ramirez T. [4 ]
Castillo-Perez, R. [5 ]
机构：
[1] Inst Politecn Nacl, SEPI UPIITA, Ave IPN 2580, Mexico City 07340, DF, Mexico
[2] Univ La Salle, Fac Engn, Mexico City 06140, DF, Mexico
[3] Hosp Gen Mexico Dr Eduardo Liceaga, Dept Biomed Engn, Mexico City 06726, DF, Mexico
[4] Asaji Audio Int SA CV, Mexico City 16030, DF, Mexico
[5] Inst Politecn Nacl, ESIME Zacatenco, SEPI, Mexico City 07738, DF, Mexico
来源：
WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, WCECS 2015, VOL I | 2015年
关键词：
Biquaternions; Dirac equation; Vekua equation;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study a new class of numerical solutions for the Dirac equation, considering electric potentials depending upon one spacial variable, based on the numerical approaching of the Taylor series in formal powers, solutions of a biquaternionic Vekua equation. Furthermore, employing the solutions of the Dirac equation, we plot the probability functions that describe the dynamics of the quantum particles within a circular domain, enhancing a common pattern detected for all the researched cases.
引用
收藏
页码：270 / 275
页数：6
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