任意维l态Woods-Saxon势的精确解 |
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引用本文: | 安博. 任意维l态Woods-Saxon势的精确解[J]. 原子与分子物理学报, 2016, 33(1): 33-36 |
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作者姓名: | 安博 |
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作者单位: | 渭南师范学院物理与电气工程学院物理系 |
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基金项目: | 国家自然科学基金青年科学基金(批准号:11304230) |
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摘 要: | 在D维空间下使用完全量子化规则计算了具有离心项的Woods-Saxon势,根据动量积分 (其中 )和Pekeris近似化条件,得到了系统的任意l波Schrödinger方程的解和能谱方程.讨论了束缚态能谱的有关性质.
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关 键 词: | Woods-Saxon势;完全量子化规则;Pekeris近似 |
修稿时间: | 2014-07-05 |
Any l-state exact solutions of the Woods-Saxon potential in arbitrary dimensions within the proper quantization rule |
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Abstract: | The energy spectra of the Woods-Saxon potential with centrifuge term in D dimensions are obtained within the proper quantization rule approach for any states. The proper quantization rule express , where . The and are two turning points determined by , and the n is the number of modes of the wave function . The energy spectra of Woods-Saxon potential can be determined from its ground state energy only. |
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Keywords: | Woods-Saxon potential Proper quantization rule Pekeris approximation |
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