量子力学波函数中的内禀节面

Inherent Nodal Surfaces in Wave Functions of Quantum Mechanics

揭示了在量子力学少体系统的波函数中广泛地存在着一类源于对称性的节面 ,即内禀节面 .研究了这一类节面对量子态的几何特征和内部运动形态的影响 .基于对内禀节面的认识 ,能深化对低激发谱的理解 ,能导致对存在于不同系统之间的同一性的理解 .

It has been revealed in this paper that a special kind of nodal surfaces, namely the inherent nodal surfaces, originating from symmetry exist extensively in the wave functions of quantum mechanical few-body systems. The effect of this kind of surfaces on the geometric features and the modes of motion of quantum states has been studied. Based on the knowledge of the inherent nodal surfaces, the features of spectra can be deeper understood, and the similarity between distinct systems can be recognized.