3 problems

Let … be the Hamiltonian of the minimally coupled scalar-field system. Assume $\Lambda\ne0$, let $n$ be an integer satisfying … and consider a generic energy level $E\ne0$. Integra…

Consider the Brioschi case under the assumptions of the subsection, with integer parameter $n$, parameter $k$, and energy level. Brioschi integrability conjecture. If the system is…

Consider the cosmological scalar-field system with parameter $b$ and integer parameter $n$. Non-integrability conjecture. For … with integer $n>1$, the system is not integrable. Th…