Schrödinger-Like Relativistic Wave Equation of Motion for the Lorentz-Scalar Potential

被引：0
|
作者：
Y.-S. Huang
机构：
[1] Soochow University,Department of Physics
[2] Shih-Lin,undefined
来源：
Foundations of Physics | 2001年 / 31卷
关键词：
Wave Equation; Coulomb Potential; Lagrangian Formalism; Relativistic Mechanic; Evolution Parameter;
D O I：
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中图分类号：
学科分类号：
摘要：
A Schrödinger-like relativistic wave equation of motion for the Lorentz-scalar potential is formulated based on a Lagrangian formalism of relativistic mechanics with a scaled time as the evolution parameter. Applications of this Schrödinger-like formalism for the Lorentz-scalar potential are given: For the square-step potential, the predictions of this formalism are free from the Klein paradox, and for the Coulomb potential, this formalism yields the exact bound-state eigenenergies and eigenfunctions.
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页码：1287 / 1298
页数：11
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