| A Clifford algebra quantization of Dirac's electron positron field | |
|---|---|
| 學年 | 79 |
| 學期 | 1 |
| 出版（發表）日期 | 1990-09-01 |
| 作品名稱 | A Clifford algebra quantization of Dirac's electron positron field |
| 作品名稱（其他語言） | |
| 著者 | 曹慶堂; Cho, H. T.; Diek, Adel; Kantowski, R. |
| 單位 | 淡江大學物理學系 |
| 出版者 | American Institute of Physics (AIP) |
| 著錄名稱、卷期、頁數 | Journal of mathematical physics 31(9), pp.2192-2200 |
| 摘要 | The quantum field theory of free Dirac particles (four‐component massive spin‐ 1/2 particles) is ‘‘derived’’ by a Segal quantization procedure. First, details are given on how the spinor space of Dirac is actually a minimal left ideal of the Clifford algebra associated with a Lorentz inner product space (+,−,−,−), and how the homogeneous group actions break the natural two‐component quaternion structure to give familiar four‐component complex spinors. Second, Wigner’s procedure for constructing unitary representations of the Poincaré group is used to construct the appropriately induced infinite‐dimensional representation of the inhomogeneous group starting from the above four‐dimensional nonunitary representation. Third, and finally, Segal’s procedure for quantizing classical Fermion fields is adapted to this infinite‐dimensional Hilbert space to obtain the Clifford algebra of annihilation–creation operators for spin‐ 1/2 particles. The familiar Fock space appears as a minimal left ideal in this second Clifford algebra. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0022-2488 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | |
| 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/987654321/27594 ) |
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