2012/11/30 by A. V. Meremianin
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Frame (networking) #Geometry #Hamiltonian (control theory) #Inertia #Mathematical optimization #Mathematical physics #Mathematics #Moment of inertia #Physics #Principal axis theorem #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Rotation (mathematics) #Three-body problem #quant-ph
paper · pdf · doi:10.1007/s10910-013-0152-9
12 pages, 2 figures. Regular paper
arxiv created 2013/02/22 · openalex publication_date 2013/02/25 · arxiv updated 2014/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.