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5-3 变分法

5-3 变分法. 不好分割 整体近似 总能做. 变分原理. 薛氏方程的变分表达. 选择定理. 里兹变分. 选择含参数的试探函数 计算期望 变分求极值. 解出参数 C i ’ 代回得近似值. 氦原子基态能量. e1. e2. He. 氦原子基态能量. 不计排斥项时. 计及排斥项,考虑影响等效电荷 , 变化 z (作为参数!). 对 z 变分求极值. 代回得近似能量. 比较.

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5-3 变分法

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  1. 5-3 变分法 • 不好分割 • 整体近似 • 总能做

  2. 变分原理 • 薛氏方程的变分表达

  3. 选择定理

  4. 里兹变分 • 选择含参数的试探函数 • 计算期望 • 变分求极值

  5. 解出参数Ci’ • 代回得近似值

  6. 氦原子基态能量 e1 e2 He

  7. 氦原子基态能量

  8. 不计排斥项时

  9. 计及排斥项,考虑影响等效电荷,变化z(作为参数!)计及排斥项,考虑影响等效电荷,变化z(作为参数!)

  10. 对z变分求极值

  11. 代回得近似能量 • 比较

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