3-body problem: quantum ground state, classical planar dynamics
The quantum and classical dynamics of a $3$-body system with equal masses
in $d$-dimensional space with interaction depending only on mutual
The study is restricted to solutions in the space of relative motion which
are functions of mutual (relative) distances only.
It is shown that these solutions correspond to motion of 3-dimensional
particle in curved space with remarkable metric. (Quasi)-exactly-solvable
Schroedinger operators in this curved space are found.