體驗區
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| 篇名 |
庫倫場中相對論性向徑波動方程的高階WKB近似法
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| 並列篇名 |
HIGHER-ORDER WKB APPROXIMATIONS FOR RELATIVISTIC RADIAL PROBLEMS IN A COULOMB FIELD
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| 作者 |
蘇正義
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| 中文摘要 |
本文把向径问题的高阶WKB近似法，应用到某表现中的狄拉克一库伦向径方程式，及库伦场中的克莱恩－戈登向径方程式。要求整体WKB波动函数在原点的行为与精确波动函数在原点的行为一致，并探讨任意阶WKB波动函数，吾人对上述二问题，都可得到精确能量光谱。本处的求法与库伦场中薛勒汀格向径方程式的精确能谱的求法很相像。吾人对通常WKB近似法中常用的蓝哲－肯伯修正及对梭摩菲勒相对论质点的古典量子理论付加以评论。
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| 英文摘要 |
High-order WKB approximations for radial problems are applied to the Dirac-Coulomb radial equations in certain representation and to the Klein-Gordon radial equation for a Coulomb field. By requiring that the behavior of the total WKB wave function near the origin be the same as that of the exact wave function and by studying the WKB wave functions of any arbitrary orders, we obtain the exact energy spectrum for both cases in similar fashion as one obtains the exact spectrum for the Schrodinger radial equation for a Coulomb field. We also make some comments on the Langer-Kemble modification in the usual WKB approximation and on the Sommerfeld old quantum theory of a relativistic particle.
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| 頁次 |
685-694
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| 關鍵詞 |
TSSCI
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| 卷期 |
31:1
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| 日期 |
1986
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| 刊名 |
教育科學研究期刊
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| 出版單位 |
國立臺灣師範大學
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