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其相应的久期方程为

①. 其相应的久期方程为. 即. 由归一化条件,得. 解: ψ 可改写成. ②. 7.6 一体系由三个全同的玻色子组成,玻色子之间无相互作用。玻色子只有两个可能的单粒子态。问体系可能的状态有几个?它们的波函数怎样用单粒子波函数构成?. 解:. = 1. = 0. = 0. 同理可证其它的正交归一关系。. 解:电子波函数的空间部分满足定态 S- 方程. 两电子的空间波函数能够组成一个对称波函数和一个反对称波函数,其形式为. 综合两方面,两电子组成体系的波函数应是反对称波函数,即. 独态:. 三重态:.

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其相应的久期方程为

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  1. 其相应的久期方程为

  2. 由归一化条件,得

  3. 解:ψ可改写成

  4. 7.6 一体系由三个全同的玻色子组成,玻色子之间无相互作用。玻色子只有两个可能的单粒子态。问体系可能的状态有几个?它们的波函数怎样用单粒子波函数构成?

  5. 解: = 1 = 0

  6. = 0 同理可证其它的正交归一关系。

  7. 解:电子波函数的空间部分满足定态S-方程

  8. 两电子的空间波函数能够组成一个对称波函数和一个反对称波函数,其形式为

  9. 综合两方面,两电子组成体系的波函数应是反对称波函数,即 独态:

  10. 三重态:

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