二维原子核集体运动的描述--对Tomonaga方法的再认识
Description of Collective Motion in Two-Dimensional Nuclei; Tomonaga's Method Revisited
摘要：
四十年前，友永提出了N个核子的二维核的量子力学集体运动的基本理论。该理论基本上是基于忽略1/sqrtN反对统一。最近，我们在一些附加条件下给出了四极型集体坐标的精确正则共轭动量，并导出了核四极型集体哈密顿量。即使在简单的二维核的情况下，我们也有一个辅助条件来获得精确的正则变量。特别是对满足辅助条件的集体子空间的结构进行了详细的研究。这个辅助条件对于研究什么是集体子空间的结构很重要。
英文摘要：
Four decades ago, Tomonaga proposed the elementary theory of quantum mechanical collective motion of two-dimensional nuclei of N nucleons. The theory is based essentially on the neglect of 1/sqrtN against unity. Very recently we have given exact canonically conjugate momenta to quadrupole-type collective coordinates under some subsidiary conditions and have derived nuclear quadrupole-type collective Hamiltonian. Even in the case of simple two-dimensional nuclei, we have a subsidiary condition to obtain exact canonical variables. Particularly the structure of the collective subspace satisfying the subsidiary condition is studied in detail. This subsidiary condition is important to investigate what is a structure of the collective subspace.
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