Inverse Feshbach's problem: Solvability and solutions

Abstract: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 $K = N-M$.

arXiv:2608.18600 [quant-ph]

(or arXiv:2608.18600v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.18600 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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