On the characteristic polynomial of an effective Hamiltonian
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Publication:2157623
DOI10.1016/J.PHYSLETA.2022.128215zbMATH Open1498.81077arXiv2203.13059OpenAlexW4221157181WikidataQ114141679 ScholiaQ114141679MaRDI QIDQ2157623
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Publication date: 22 July 2022
Published in: (Search for Journal in Brave)
Abstract: The characteristic polynomial of the effective Hamiltonian for a general model has been discussed. It is found that, compared with the associated energy eigenvalues, this characteristic polynomial generally has better analytical properties and larger convergence radius when being expanded in powers of the interaction parameter, and hence is more suitable for a perturbation calculation. A form of effective Hamiltonian which has the same singularities (branch points) as such characteristic polynomial has also been constructed.
Full work available at URL: https://arxiv.org/abs/2203.13059
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