Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
复制标题
一维拟精确可解薛定谔算子的归一化性
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
P. Olver
中科院分区：
文献类型：
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作者：
A. González;N. Kamran;P. Olver
给出了拟精确可解Schrödinger算子谱的代数部分，完整地确定了波函数可归一化的充分必要条件。利用经典不变理论的方法，给出了一般坐标系下可归一化拟精确可解哈密顿量的完整标准形式列表和显式归一化条件。
We completely determine necessary and sufficient conditions for the normalizability of the wave functions giving the algebraic part of the spectrum of a quasi-exactly solvable Schrödinger operator on the line. Methods from classical invariant theory are employed to provide a complete list of canonical forms for normalizable quasi-exactly solvable Hamiltonians and explicit normalizability conditions in general coordinate systems.