方势场中无自旋粒子的Stationary states
Stationary states of spinless particles in square potentials
摘要：
在最一般的Lorentz结构下研究了一维Klein-Gordon方程。在矢量和标量耦合任意混合的情况下，对平方势中粒子散射的反射和透射系数的分析和计算，揭示了与非相对论性量子力学的预测相冲突的情况。结果表明，这种异常散射介导的反粒子束缚态，即使入射粒子具有低能量。结合态的分析也揭示了令人惊讶的结果，值得注意的是由于标量耦合的存在，抑制了Schiff-Snyder-Weinberg效应。
英文摘要：
The one-dimensional Klein-Gordon equation is investigated with the most general Lorentz structure for the external potentials. The analysis and calculation of the reflection and transmission coefficients for the scattering of particles in a square potential, with an arbitrary mixing of vector and scalar couplings, reveal circumstances which conflict with the predictions from nonrelativistic quantum mechanics. It is shown that such anomalous scatterings are mediated by antiparticle bound states, even if the incident particles have low energies. The analysis of bound states also reveals surprising results, remarkable is the inhibition of the Schiff-Snyder-Weinberg effect due to the presence of a scalar coupling.
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