逆费什巴赫问题：可解性与解
Inverse Feshbach's problem: Solvability and solutions
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中文总结 AI 辅助
针对特定M阶Feshbach有效哈密顿量H_eff^(M)(E)，研究从其反问题重构N阶哈密顿量H^(N)，将问题转化为多项式代数方程组求解，借助计算机符号运算实现H^(N)的显式代数重构，适用于K=N-M不大的情况。
中文摘要 AI 辅助
给定特定的M×M矩阵形式的Feshbach有效（即与能量相关的）哈密顿量H^{(M)}_{eff}(E)，考虑全空间N×N矩阵哈密顿量H^{(N)}的反问题重构，并将其简化为一组耦合多项式代数方程的求解。利用计算机辅助符号运算，在K=N-M不太大的情况下，H^{(N)}的显式代数重构是可行的。
英文摘要
Given a certain specific, $M$ by $M$ matrix form of the Feshbach's effective (i.e., energy-dependent) Hamiltonian $H^{(M)}_{e\!f\!f}(E)$, the inverse-problem reconstruction of the full-space, $N$ by $N$ matrix Hamiltonian $H^{(N)}$ is considered and reduced to the solution of a coupled set of polynomial algebraic equations. Using computer-assisted symbolic manipulations, an explicit algebraic reconstruction of $H^{(N)}$ is found feasible at not too large $K = N-M$.
