氦原子三聚体的相关超球调和基函数变分描述
Variational description of the Helium trimer using correlated hyperspherycal harmonic basis functions
摘要：
用关联超球谐函数构造的变分波函数描述氦三聚体。已知该系统具有深束缚态。此外，不同的潜在模型预测存在一个浅的激发态，已被确定为Efimov状态。利用Rayleigh-Ritz变分原理，通过求解广义本征值问题，得到了两种束缚态的能量和波函数。适当的相关因子的引入大大减少了精确描述系统结构所需的基的维数。最新的氦-氦相互作用进行了研究。
英文摘要：
A variational wave function constructed with correlated Hyperspherical Harmonic functions is used to describe the Helium trimer. This system is known to have a deep bound state. In addition, different potential models predict the existence of a shallow excited state that has been identified as an Efimov state. Using the Rayleigh-Ritz variational principle the energies and wave functions of both bound states have been obtained by solving a generalized eigenvalue problem. The introduction of a suitable correlation factor reduces considerably the dimension of the basis needed to accurately describe the structure of the system. The most recent helium-helium interactions have been investigated.
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