Perturbation theory in a framework of iteration methods

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Ciftci H., Hall R., Saad N.

PHYSICS LETTERS A, cilt.340, ss.388-396, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 340
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.physleta.2005.04.030
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.388-396
  • Anahtar Kelimeler: asymptotic iteration method, perturbation series, eigenvalue problems, Schrodinger equation, SPHEROIDAL WAVE-FUNCTIONS, QUARTIC ANHARMONIC-OSCILLATOR, UNIFORM ASYMPTOTIC EXPANSIONS, SYMMETRIC QUANTUM-MECHANICS, STRONG-COUPLING EXPANSIONS, EIGENVALUE PROBLEMS, CUBIC OSCILLATOR, SCHRODINGER-EQUATION, HAMILTONIANS, ENERGY
  • Gazi Üniversitesi Adresli: Evet

Özet

In a previous paper [J. Phys. A 36 (2003) 11807], we introduced the 'asymptotic iteration method' for solving second-order homogeneous linear differential equations. In this Letter, we study perturbed problems in quantum mechanics and we use the method to find the coefficients in the perturbation series for the eigenvalues and eigenfunctions directly, without first solving the unperturbed problem. (c) 2005 Elsevier B.V. All rights reserved.