论文标题
Minkowski平面上的非质量量子颗粒
Nonrelativistic quantum particles on the Minkowski plane
论文作者
论文摘要
讨论了非层次论粒子，谐波振荡器和Minkowski平面上的库仑粒子的量子力学问题。使用伪 - 欧几里得平面的Beltrami-laplas操作员获得了特征值的Schrödinger方程和相应的电位。结果表明，与欧几里得平面上的标准问题相反，除了连续频谱外，自由粒子具有离散的能级，除离散光谱外，库仑粒子具有不稳定的状态，这些状态描述了形成度量锥体粒子上粒子上的粒子的发生率。
The quantum-mechanical problems of a nonrelativistic free particle, a harmonic oscillator and a Coulomb particle on Minkowski plane are discussed. The Schrödinger equations for eigenvalues are obtained using the Beltrami-Laplas operator of the pseudo-Euclidean plane and the corresponding potentials. It is shown that, in contrast to the standard problem on Euclidean plane, in addition to the continuous spectrum, a free particle has a discrete energy levels and a Coulomb particle, in addition to the discrete spectrum, has unstable states that describe the incidence of a particle on isotropic lines forming a metric cone.
