The Laguerre pseudospectral method for the radial Schrodinger equation

ALICI H., TAŞELİ H.

APPLIED NUMERICAL MATHEMATICS, cilt.87, ss.87-99, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.apnum.2014.09.001
  • Dergi Adı: APPLIED NUMERICAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.87-99
  • Anahtar Kelimeler: Laguerre pseudospectral methods, Radial Schrodinger equation, Quantum mechanical potentials, L-STATE SOLUTIONS, STURM-LIOUVILLE, SPECTRAL METHODS, BOUND-STATES, HULTHEN, EIGENVALUES, APPROXIMATION, INTERPOLATION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

By transforming dependent and independent variables, radial Schrodinger equation is converted into a form resembling the Laguerre differential equation. Therefore, energy eigenvalues and wavefunctions of M-dimensional radial Schrodinger equation with a wide range of isotropic potentials are obtained numerically by using Laguerre pseudospectral methods. Comparison with the results from literature shows that the method is highly competitive. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.