The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line


Taseli H. , Alici H.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.41, sa.4, ss.407-416, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10910-006-9083-z
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Sayfa Sayıları: ss.407-416

Özet

Hermite-Weber functions provide a natural expansion basis for the numerical treatment of the Schrodinger equation on the whole real line. For the reflection symmetric Hamiltonians, however, it is shown here that the transformation of the problem over the half line and use of a Laguerre basis is computationally much more efficient in a pseudospectral scheme.