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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Piecewise constant potentials and discrete ambiguities
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Piecewise constant potentials and discrete ambiguities

机译：分段恒电位和离散歧义

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摘要

This work is devoted to the study of discrete ambiguities. For parametrized potentials, they arise when the parameters are fitted to a finite number of phase-shifts, which generate phase-equivalent potentials. Such equivalence was suggested to be due to the modulo π uncertainty inherent to phase determinations. We show that a different class of phase-equivalent potentials exists. To this aim, use is made of piecewise-constant potentials, intervals of which are defined by the zeros of their regular solutions of the Schr?dinger equation. We give a classification of the ambiguities in terms of indices which include the difference between exact phase modulo π and the numbering of the wave function zeros.
机译：这项工作致力于离散歧义的研究。对于参数化电势，当将参数拟合到有限数量的相移时会产生电势，这些相移会产生相当量的电势。提出这种等效性是由于相位确定所固有的模π不确定性。我们表明存在不同类别的相当量电势。为此，使用分段恒定电位，其间隔由薛定er方程的正则解的零点定义。我们根据指数给出了模糊度的分类，其中包括精确的相位模π与波函数零的编号之间的差。

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