JOURNAL OF MATHEMATICAL CHEMISTRY, vol.34, pp.177-187, 2003 (SCI-Expanded)
Article / Article
JOURNAL OF MATHEMATICAL CHEMISTRY
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Schrodinger equation, quantum mechanical oscillators, orthogonal expansions, Hermite-Weber functions, ANHARMONIC-OSCILLATOR, SCHRODINGER-EQUATION, PERTURBATION-THEORY, ENERGY-SPECTRUM, POTENTIALS, BOUNDS
Middle East Technical University Affiliated:
The effectiveness of the usual harmonic oscillator basis is demonstrated on a wide class of Schrodinger Hamiltonians with various spectral properties. More specifically, it is shown numerically that an appropriately scaled Hermite-Weber basis yields extremely accurate results not only for the energy eigenvalues which differ slighly from the harmonic oscillator levels, but also for the states which reflect a purely anharmonic character.