论文标题
Quaternionic弹性散射
Quaternionic elastic scattering
论文作者
论文摘要
我们研究了基于实际希尔伯特空间方法的量子颗粒的弹性散射（$ \ Mathbbm H $ QM），并为波函数，相移以及硬球体散射电位的情况提供了表达。这些新的Quaternionic结果与相应的结果之间的强烈一致性增强了普通复杂量子力学（$ \ MathBBM C $ QM）的$ \ MathBBM H $ QM概括的有效性。
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for the case of a hard sphere scattering potential. The strong agreement between these new quaternionic results and the corresponding results in complex quantum mechanics reinforce the validity of the $\mathbbm H$QM generalization of ordinary complex quantum mechanics ($\mathbbm C$QM).
