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微分幾何及其在物理的應用 | 台大開放式課程線上共學社群
問題討論
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作業任務
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共享筆記
目錄大綱
(18/18)
1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. Degeneracy and topology of a two-level system--two dimensional case
2. Degeneracy and topology of a two-level system--three dimensional case
3. Topology of a U(1) fiber bundle
4. Topology and connection of a U(1) bundle
5. Connection Form & Exterior Calculus
6. Differential Geometry of Surface -- Moving Frames
7. Gauss Bonnet and Poincare Hopf Theorems
8. Tensor Analysis
9. Riemann Curvature Tensor
10. Tensor Analysis Continued
11. Vibronic Gauge Model
12. Vibronic Gauge Model Continued
13. Homology and Cohomology Groups : de Rham's Theorem
14. Polyacetylene and Graphene
15. Index Theorem(s)
16. Review Index Theorem in Graphene
微分幾何及其在物理的應用 | 台大開放式課程線上共學社群
問題討論
作業任務
共享筆記
目錄大綱
(0/0)
1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. Degeneracy and topology of a two-level system--two dimensional case
2. Degeneracy and topology of a two-level system--three dimensional case
3. Topology of a U(1) fiber bundle
4. Topology and connection of a U(1) bundle
5. Connection Form & Exterior Calculus
6. Differential Geometry of Surface -- Moving Frames
7. Gauss Bonnet and Poincare Hopf Theorems
8. Tensor Analysis
9. Riemann Curvature Tensor
10. Tensor Analysis Continued
11. Vibronic Gauge Model
12. Vibronic Gauge Model Continued
13. Homology and Cohomology Groups : de Rham's Theorem
14. Polyacetylene and Graphene
15. Index Theorem(s)
16. Review Index Theorem in Graphene
Connection Form & Exterior Calculus
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