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Analytic solutions of the ground and excited states of the spin-weighted spheroidal equation in the case of s=2
  • ISSN号：1674-1056
  • 期刊名称：《中国物理B：英文版》
  • 时间：0
  • 分类：O441[理学—电磁学;理学—物理] O175[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Science, Beijing University of Posts And Telecommunications, Beijing 100876, China
  • 相关基金：Project supported by the National Natural Science Foundation of China （Grant Nos. 10875018 and 10773002）.
作者： 孙越[1], 田贵花[1], 董锟[1]
关键词： 旋转椭球, 解析解, 波方程, 加权, 激发态, 超对称量子力学, 自旋, 基态, spheroidal wave equation, supersymmetric quantum mechanics, super-potential, eigen-value and eigenfunetion
中文摘要：

By using the super-symmetric quantum mechanics (SUSYQM) method, this paper obtains the analytical solutions for the spin-weighted spheroidal wave equation in the case of s = 2. Based on the derived W 0 to W 4 the general form for the n-th-order super-potential is summarized and is proved correct by mathematical induction. Hence the ground eigenvalue problem is completely solved. Particularly, the novel solutions of the excited state are investigated according to the shape-invariance property.

英文摘要：

By using the super-symmetric quantum mechanics （SUSYQM） method, this paper obtains the analytical solutions for the spin-weighted spheroidal wave equation in the case of s = 2. Based on the derived W0 to W4 the general form for the n-th-order super-potential is summarized and is proved correct by mathematical induction. Hence the ground eigenvalue problem is completely solved. Particularly, the novel solutions of the excited state are investigated according to the shape-invariance property.

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期刊信息
  • 《中国物理B：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京 中关村 中国科学院物理研究所内
  • 邮编：100080
  • 邮箱：
  • 电话：010-82649026 82649519
  • 国际标准刊号：ISSN：1674-1056
  • 国内统一刊号：ISSN：11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406