PreprintarXiv licencearXiv
A note on the integrability status of a 'mysterious' case of a quadratic Hamiltonian
Abstract
We present a simple algebraic proof of meromorphic non-integrability of a 'mysterious' case of a quadratic Hamiltonian studied by Sokolov and Wolf. The result is obtained by applying the Morales-Ramis method, based on differential Galois theory.
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BibTeX
@misc{christov2026note,
title = {{A note on the integrability status of a 'mysterious' case of a quadratic Hamiltonian}},
author = {Ognyan Christov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.05142},
eprint = {2609.05142},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05142},
}
RIS
TY - UNPB
TI - A note on the integrability status of a 'mysterious' case of a quadratic Hamiltonian
AU - Ognyan Christov
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2609.05142
UR - https://arxiv.org/abs/2609.05142
AB - We present a simple algebraic proof of meromorphic non-integrability of a 'mysterious' case of a quadratic Hamiltonian studied by Sokolov and Wolf. The result is obtained by applying the Morales-Ramis method, based on differential Galois theory.
ER -