2013/01/31 by Aurel Bulgac, Michael McNeil Forbes
Physics and Astronomy · #nucl-th #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevc.87.051301
published as Phys. Rev. C 87, 051301(R) (2013) · Published version: New figure demonstrating convergence for 3- and 4-body problems
arxiv created 2013/05/06 · arxiv updated 2013/05/07
The discrete variable representation (DVR) basis is nearly optimal for numerically representing wave functions in nuclear physics: Suitable problems enjoy exponential convergence, yet the Hamiltonian remains sparse. We show that one can often use smaller basis sets than with the traditional harmonic oscillator basis, and still benefit from the simple analytic properties of the DVR bases which requires no overlap integrals, simply permit using various Jacobi coordinates, and admit straightforward analyses of the ultraviolet and infrared convergence properties.