title: An optimized algebraic basis for molecular potentials.
abstract: The computation of vibrational spectra of diatomic molecules through the exact diagonalization of algebraically determined matrices based on powers of Morse coordinates is made substantially more efficient by choosing a properly adapted quantum mechanical basis, specifically tuned to the molecular potential. A substantial improvement is achieved while still retaining the full advantage of the simplicity and numerical light-weightedness of an algebraic approach. In the scheme we propose, the basis is parametrized by two quantities which can be adjusted to best suit the molecular potential through a simple minimization procedure.
authors.affiliation: Dipartimento di Fisica, Università di Milano, Via Celoria 16, 20133 Milano, Italy. andrea.bordoni@unimi.it
authors.forename: Andrea
authors.initials: A
authors.lastname: Bordoni
authors.forename: Nicola
authors.initials: N
authors.lastname: Manini