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动量表象中导体表面荷电粒子定态问题的严格解——发散问题及其消除

ON THE EXACT SOLUTIONS OF STATIONARY STATE OF CHARGED PARTICLE ON THE CONDUCTOR-SURFACE IN THE MOMENTUM REPRESENTATION——ON A PROBLEM OF DIVERGENCE AND ITS ELIMINATION
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摘要 一维库伦势在动量表象中的表示是发散的。本文以动量表象中导体表面荷电粒子定态问题为例,研究动量表象中的发散困难及其消除,并给出求解原则,进而给出完备的严格解。 It has been pointed out that the one-dimensional Coulomb potential is divergent in the momentum representation. In this paper as an example the stationary state problem in the momentum representation of charged particle on the conductor- surface is discussed. The divergence problem and its elimination are studied. The criterions for determining the solutions and a complete set of exact solutions are obtained in the momentum representation.
出处 《复旦学报(自然科学版)》 CAS CSCD 北大核心 1991年第3期263-269,共7页 Journal of Fudan University:Natural Science
基金 中国高等教育(博士点)基金 上海市自然科学基金及通过Committee for Education Exchange With China授予的Glorious Sun Fellowship的资助
关键词 薛定谔方程 方程解 发散 动量表象 严格解 Schrodinger equation solution of equation divergence momentum representation exact solution
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参考文献2

  • 1胡嗣柱,复旦学报,1991年,30卷,3期,348页
  • 2戴显熹,高能物理与核物理,1978年,2卷,3期,225页

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