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題 名 | 由降階型態算符推導SU(3)李代數之研究=A Study from Destruction Type Operator to Construct SU(3) Lie Algebra |
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作 者 | 段宏昌; | 書刊名 | 高雄科學技術學院學報 |
卷 期 | 28 1998.12[民87.12] |
頁 次 | 頁669-687 |
分類號 | 331.3 |
關鍵詞 | 降階型態算符; 李代數; Destruction type operator; Lie algebra; |
語 文 | 中文(Chinese) |
中文摘要 | 對於某特定形式的降階型態算符 (destruction type operator)U 言,由對易關係式 (commutation relation) [U,H]=FU 所求出來的這些漢米爾頓算符集合(Hamiltonian operator){H},形成某特定形式的李代數。 在此之先,前人已成功的求出O(2,1)及O(3)李代數,如今,我們用兩個可對易的降階型態算符U及U,來建立SU(3)李代數。 |
英文摘要 | For some special form of a destruction type operator U, by solving the commutation relation [U,H]=F(U), we can obtain the set of Hamiltonian operators {H} which forms representations of a certain type Lie algebra. We have successfully used the method to the case of O(2,1) and O(3) Lie algebra. Now we use two commuting destruction type operators to constructing the case of SU(3) Lie algebra. |
本系統中英文摘要資訊取自各篇刊載內容。