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math-ph2025
Non-integrability of the -body problem
Andrzej J. Maciejewski, Maria Przybylska, Thierry Combot
We prove that the classical planar -body problem when restricted to a common level of the energy and the angular momentum is not integrable except in the case when both values o…
math-ph2016
Integrability of the one dimensional Schroedinger equation
Thierry Combot
We present a definition of integrability for the one dimensional Schroedinger equation, which encompasses all known integrable systems, i.e. systems for which the spectrum can be e…