Non-Additive Quantum Evolution via Logarithmic Generators

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Autore principale: Swarup
Natura: Recurso digital
Pubblicazione: Zenodo 2026
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author Swarup
author_facet Swarup
contents <p>A class of unitary evolutions is developed in which the logarithmic generator depends func-<br>tionally on itself. A precise operator-theoretic formulation is given, including domain conditions<br>and a local existence result. A non-additivity theorem is proved showing that no representation<br>by an additive Hamiltonian exists for nontrivial feedback functionals. Structural consequences<br>for perturbative quantum field theory are stated in a controlled form. The results establish a<br>well-posed nonlinear deformation of standard quantum dynamics.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19193164
institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Non-Additive Quantum Evolution via Logarithmic Generators
Swarup
<p>A class of unitary evolutions is developed in which the logarithmic generator depends func-<br>tionally on itself. A precise operator-theoretic formulation is given, including domain conditions<br>and a local existence result. A non-additivity theorem is proved showing that no representation<br>by an additive Hamiltonian exists for nontrivial feedback functionals. Structural consequences<br>for perturbative quantum field theory are stated in a controlled form. The results establish a<br>well-posed nonlinear deformation of standard quantum dynamics.</p>
title Non-Additive Quantum Evolution via Logarithmic Generators
url https://doi.org/10.5281/zenodo.19193164