標題: 探討量子形變的新途徑
A new approach to Quantum Deformation
作者: 黃山齊
Huang, Shan-Chi
金周新
翁志文
Chin, Chou-hsin
Weng, Chih-wen
應用數學系所
關鍵字: q-形變;量子形變;量子群;量子線性問題;量子可積系統;q-Deformation;Quantum deformation;Quantum Groups;Quantum linear problem;Quantum integrable system
公開日期: 2009
摘要: q-形變在許多數學及物理的不同領域裡被廣泛討論。然而,所有已知的討論都是建立在保角變換 x-> qx 之上。在本篇論文中,我們考慮另一種形式的形變,稱之為 q~-形變,它是建立在 x-> x^q 的變換之上。換言之,這類形變發生在變數 x 的次方數上。我們也期待 q~-形變最終會是研究量子群理論的另一途徑。
The q-deformation had been wide discussed in many different fields of physics and mathematics. However, all the discussions that we know of are simply based on the conformal mapping x-> qx. Throughout the thesis, we consider deformation of another kind, says q~-deformation, which is based on the mapping x-> x^q. In other words, these kinds of deformations appear in the power of variable x. We expect q~- deformation to be a new approach to the studying of Quantum Groups eventually.
URI: http://140.113.39.130/cdrfb3/record/nctu/#GT079722512
http://hdl.handle.net/11536/45065
顯示於類別:畢業論文


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