The Eckart frame Hamiltonians in the three-body problem

Abstract

The Eckart frame is used to separate out the collective rotations in the quantum three-body problem. Explicit expressions for the corresponding rotational and vibro-rotational (i.e. Coriolis) Hamiltonians are derived. Special attention is paid to the situation when two principal moments of inertia are equal in the equilibrium configuration.Comment: 12 pages, 2 figures. Regular pape