The scaled Hermite-Weber basis still highly competitive

Taseli H., Ersecen M.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.34, ss.177-187, 2003 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1023/b:jomc.0000004067.16089.02
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.177-187
  • Anahtar Kelimeler: Schrodinger equation, quantum mechanical oscillators, orthogonal expansions, Hermite-Weber functions, ANHARMONIC-OSCILLATOR, SCHRODINGER-EQUATION, PERTURBATION-THEORY, ENERGY-SPECTRUM, POTENTIALS, BOUNDS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.