運用內含彭卡萊切面資訊的Bogomolny半古典方法求出特徵能量,其透過在空間中的有限分割運算子,我們可以計算出簡單共振腔的特徵能量.此方法運用在二維空間比在三維空間中更為方便,在計算量上由於在二維空間中更能顯現其優勢,但是此方法卻不能運用到廣泛的任意空腔形狀.

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