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學校名稱輔仁大學
系所名稱物理學系
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學號491326198
研究生(中)賴慧芳
研究生(英)Lai Hui Fang
論文名稱(中)以B-spline為基底的複數座標旋轉方法來研究鈹原子的光游離
論文名稱(英)B-spline-based Complex-Rotation Method for the Photoionization of Be
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指導教授(中)方德貴
指導教授(英)
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畢業學年度94
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關鍵字(中)光游離 諧振態 Fano q 參數
關鍵字(英)photoionization resonance Fano q parameter
摘要(中)我們用以B-spline為基底的複數座標旋轉方法來計算鈹原子在Be+2s與Be+3s臨界值之間的基態光游離截面。我們所得到的諧振態參數,如諧振態的能量、寬度和Fano q 參數是直接計算出來的。我們 的結果與其他理論值有很好的一致性。
摘要(英)We have used a B-spline-based complex-rotation method to calculate the ground-state photoionization cross sections of Be between the Be+2s and Be+3s thresholds. The resonance parameters, such as resonance energies and widths, and the Fano q parameters, are calculated directly. Our results agree well with other theoretical data.
論文目次第一章 緒論 1.1 介紹……………………………………… 1 1.2 B-spline ………………………………… 2 1.3 Fano q parameter ……………………… 4 第二章 理論 ……………………………… 5 第三章 計算結果與討論 3.1 Be原子模型、基態能量 ……………… 9 3.2 最佳β值的選擇………………………… 11 3.3 Be原子 single-channel 諧振態 ……… 14 3.4 Be原子 multi-channel 諧振態 ………… 19 第四章 結論 ……………………………… 24 參考文獻 …………………………………… 25 附錄 ………………………………………… 27
參考文獻[1] T. N. Rescigno, “Atomic photoionization by the complex-basis-function expansion method: Application to ground-state and metastable Mg, ” Phys. Rev. A 31, 607 (1985). [2] H. S. Fung, H. H. Wu, T. S. Yih, T. K. Fang, and T. N. Chang, “Photoabsorption of Mg above the 3p threshold, ” Phys. Rev. A 64, 052716 (2001). [3] T. N. Chang,“Photoionization Dominated by Double-excitation in Two-electron and Divalent Atoms, ” in Many-body Atomic Physics, Cambridge Univ. Press, pp. 129-154 (1994). [4] C. deBoor, “A Practical Guide to Splines,” Springer, New York (1978). [5] W. R. Johnson, S. A. Blundell, and J. Sapirstein, “Finite basis sets for the Dirac equation constructed from B splines, ” Phys. Rev. A 37, 307 (1988). [6] U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124, 1866 (1961). [7] T. K. Fang and T. N. Chang, “B-spline-based multichannel K-matrix method for atomic photoionization, ” Phys. Rev. A 61, 062704 (2000). [8] T. K. Fang, Y. K. Ho, and Y. C. Lin, “Proceedings of International Seminar on Photoionization in Atom,” Kyoto University Press, p. 12 (2002). [9] T. N. Chang, in Many-body Theory of Atomic Structure and Photoionization, edited by T. N. Chang (World Scientific, Singapore, 1993), p. 213. [10] T. N. Rescigno, C. W. McCurdy, Jr., and A. E. Orel, “Extensions of the complex-coordinate method to the study of resonances in many-electron systems,” Phys. Rev. A 17, 1931 (1978). [11] T. N. Rescigno and C. W. McCurdy, “Locally complex distortions of the energy spectrum in the calculation of scattering amplitudes and photoionization cross sections,” Phys. Rev. A 31, 624 (1985). [12] 林彥璋,“以B-Spline為主的複數座標旋轉方法來研究二價原子系統與並行計算,”天主教輔仁大學物理研究所碩士論文, 2-4 (2004). [13] Y. K. Ho and T. K. Fang, “Photoionization Profiles of Helium Autoionizing States in External DC Electric Fields,” Journal of the Chinese Chemical Society. 48, 539-544 (2001). [14] Bin Zhou and C. D. Lin, “Photoionization of the beryllium atom,” Phys. Rev. A 51, 1286-1290 (1995). [15] T. N. Chang and Lizhi Zhu, “Photoionization of the Be isoelectronic sequence from the ground and the 1S bound excited states,” Phys. Rev. A 51, 374-380 (1995).
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異動記錄M admin Y2008.M7.D3 23:18 61.59.161.35