| SOME TRACE FORMULAS FOR THE SCHRDINGER EQUATION WITH ENERGY-DEPENDENT POTENTIAL |
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| 引用本文： | 曹策问,庄大蔚.SOME TRACE FORMULAS FOR THE SCHRDINGER EQUATION WITH ENERGY-DEPENDENT POTENTIAL[J].数学物理学报(A辑),1985(2). |
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| 作者姓名： | 曹策问 庄大蔚 |
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| 作者单位： | Dept.of Math.，Zhengzhou Univ.，Zhengzhou，China，Dept.of Math.，Beijing Univ.，Beijing，China |
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| 摘 要： | The importance of the inverse scattering problem for the Schrdinger equation with energy-dependent potential: has been noticed by quite a few authors. Jaulent and Miodek have used it to solve some nonlinear evolution equations with isospectral condition ξ_t=0. Li and Zhuang have further made use of (1) to expand the solvable class of nonlinear evolution equations. Several physical problems in absorption media can be reduced to the inverse scattoring problem of(1) (see 4]).
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