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arXiv 1111.3039hep-thmath-phmath.MPquant-ph
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二维Scarf II模型的SUSY方法解析解

Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY Methods

M. V. Ioffe, E. V. Krupitskaya, D. N. Nishnianidze

摘要:

新的二维量子模型-围巾II的推广-完全解析求解参数的整数值。该模型不适合于常规的分离变量方法,本文用最近提出的超对称分离方法求解。后者是基于超对称量子力学的两个组成部分:与二阶超荷的纠缠关系和形状不变性。结果得到了所有束缚态的能量和相应的波函数的解析表达式。

英文摘要:

New two-dimensional quantum model - the generalization of the Scarf II - is completely solved analytically for the integer values of parameter. This model being not amenable to conventional procedure of separation of variables is solved by recently proposed method of supersymmetrical separation. The latter is based on two constituents of SUSY Quantum Mechanics: the intertwining relations with second order supercharges and the property of shape invariance. As a result, all energies of bound states were found, and the analytical expressions for corresponding wave functions were obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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