| ζ functions for nonminimal operators | |
|---|---|
| 學年 | 84 |
| 學期 | 1 |
| 出版（發表）日期 | 1995-10-01 |
| 作品名稱 | ζ functions for nonminimal operators |
| 作品名稱（其他語言） | |
| 著者 | Cho, H. T.; Kantowski, R. |
| 單位 | 淡江大學物理學系 |
| 出版者 | College Park: American Physical Society |
| 著錄名稱、卷期、頁數 | Physical Review D (Particles and Fields) 52(8), pp.4588-4599 |
| 摘要 | We evaluate zeta functions ζ(s) at s=0 for invariant nonminimal second-order vector and tensor operators defined on maximally symmetric even dimensional spaces. We decompose the operators into their irreducible parts and obtain their corresponding eigenvalues. Using these eigenvalues, we are able to explicitly calculate ζ(0) for the cases of Euclidean spaces and N-spheres. In the N-sphere case, we make use of the Euler-Maclaurin formula to develop asymptotic expansions for the required sums. The resulting ζ(0) values for dimensions 2 to 10 are given in the Appendix. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0556-2821 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/27821 ) |
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