Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection
Quantum Physics
2025-07-16 v1 Mathematical Physics
math.MP
Abstract
Reconstruction of a full-space quantum Hamiltonian from its effective Feshbach's model-space avatar is shown feasible. In a preparatory step the information carried by the effective Hamiltonian is compactified using a linear algebraic operation (matrix inversion). A ``universal'' coupled set of polynomial algebraic equations it then obtained. In a few simplest special cases their solution is given and discussed.
Keywords
Cite
@article{arxiv.2506.22854,
title = {Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:2506.22854},
year = {2025}
}
Comments
20 pp