论文标题
中性颗粒的Schroedinger-Pauli方程的对称性
Symmetries of the Schroedinger-Pauli equation for neutral particles
论文作者
论文摘要
通过使用代数方法,具有基质电位的Schrödinger方程的对称性进行了分类。指定了这种类型的三十三个不等式方程,并指定了可接受的等效关系。特别是关于运动不变性组的Boyer结果(C. P. Boyer,Helv。Phys。Acta,{\ bf 47},450--605(1974))被澄清并纠正。
With using the algebraic approach Lie symmetries of Schrödinger equations with matrix potentials are classified. Thirty three inequivalent equations of such type together with the related symmetry groups are specified, the admissible equivalence relations are clearly indicated. In particular the Boyer results concerning kinematical invariance groups for arbitrary potentials (C. P. Boyer, Helv. Phys. Acta, {\bf 47}, 450--605 (1974)) are clarified and corrected.