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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33229
標題: | 單電子粒子之迪拉克方程式經佛迪-吾速森轉換的漢米爾敦量與托馬仕-班傑明-麥克-特勒第方程式的關係 Correlations between Foldy-Wouthuysen transformed Dirac equation and Thomas-Bargmann-Michel-Telegdi equation |
作者: | Chia-Lun Chang 張家倫 |
指導教授: | 郭光宇(Guang-Yu Guo) |
關鍵字: | 迪拉克方程式,托馬仕-班傑明-麥克-特勒地方程式, Dirac equation,Thomas-Bargmann-Michel-Telegdi equation, |
出版年 : | 2011 |
學位: | 碩士 |
摘要: | The classical Hamiltonian of a point charged particle with intrinsic spin, which is composed of the relativistic orbit Hamiltonian and the spin Hamiltonian. This spin Hamiltonian can be derived from the Thomas-Bargmann-Michel-Telegdi equation. In our thesis, we will prove that the classical Hamiltonian in which the gyromagnetic ratio equals 2 is in agreement with the low-energy limit of the Dirac equation, the relativistic quantum theory for a spin-1/2 charged particle. For this purpose, we apply the Foldy-Wouthuysen transformation to the Dirac Hamiltonian under the assumptions of the static and homogeneous electromagnetic fields. Furthermore, in order to maintain such a correspondence in arbitrary gyromagnetic ratio cases, we perform the F-W transformation to the Dirac-Pauli Hamiltonian, which is the Dirac Hamiltonian plus the anomalous magnetic dipole moment Hamiltonian. Up to the twelfth-order of F-W transformed Dirac and Dirac-Pauli Hamiltonian, the calculation results are in accord with the corresponding classical Hamiltonians. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/33229 |
全文授權: | 有償授權 |
顯示於系所單位: | 物理學系 |
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