On a fundamental system of solutions of the matrix Schrodinger equation with a polynomial energy-dependent potential

Nabiev A. A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.33, sa.11, ss.1372-1383, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 11
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1002/mma.1261
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1372-1383
  • Sivas Cumhuriyet Üniversitesi Adresli: Hayır

Özet

In this study in the interval (0;+infinity) a fundamental system of solutions with behavior at the neighborhood of zero and at infinity are investigated for the polynomial pencil of the matrix Schrodinger equation. The integral representations are constructed for the Jost-type solutions and asymptotic formulas are obtained for the fundamental system of solutions of the matrix Schrodinger pencil. Copyright (C) 2010 John Wiley & Sons, Ltd.