2017/01/17 by L. Fortunato, Fortunato, Lorenzo, Tomohiro Oishi +1 · 1 citation
Physics and Astronomy · Chemistry · #Quantum Mechanics and Non-Hermitian Physics #Nuclear physics research studies #Molecular spectroscopy and chirality
paper · pdf · doi:10.48550/arxiv.1701.04684
A new convenient method to diagonalize the non-relativistic many-body Schroedinger equation with two-body central potentials is derived. It combines kinematic rotations (democracy transformations) and exact calculation of overlap integrals between bases with different sets of mass-scaled Jacobi coordinates, thereby allowing for a great simplification of this formidable problem. We validate our method by obtaining a perfect correspondence with the exactly solvable three-body (N=3) Calogero model in 1D.