无自旋粒子在矢量-标量混合光滑阶跃势中的散射和束缚态
Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
摘要：
考虑了无自旋粒子在类扭结光滑阶跃势背景下的散射和束缚态，并在此背景下加入了标量均匀背景.该问题被映射到一个有效的Rosen-Morse势的薛定谔方程。结果表明，标量均匀背景对散射态的影响是微妙的，是束缚态形成的高压因素。在这个过程中，它表明，解决本征能量的微分方程的问题转化为更简单，更有效的问题，解决一个无理代数方程。
英文摘要：
Scattering and bound states for a spinless particle in the background of a kink-like smooth step potential, added with a scalar uniform background, are considered with a general mixing of vector and scalar Lorentz structures. The problem is mapped into the Schrödinger-like equation with an effective Rosen-Morse potential. It is shown that the scalar uniform background present subtle and trick effects for the scattering states and reveals itself a high-handed element for formation of bound states. In that process, it is shown that the problem of solving a differential equation for the eigenenergies is transmuted into the simpler and more efficient problem of solving an irrational algebraic equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
