PreprintCC BY 4.0arXiv
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.
Versions
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BibTeX
@misc{znojil2026inverse,
title = {{Inverse Feshbach's problem: Solvability and solutions}},
author = {Miloslav Znojil},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.18600},
eprint = {2608.18600},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.18600},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Inverse Feshbach's problem: Solvability and solutions
AU - Miloslav Znojil
PY - 2026
DA - 2026/08/19
PB - arXiv
DO - 10.48550/arxiv.2608.18600
UR - https://arxiv.org/abs/2608.18600
AB - 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.
ER -