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, ss.1372-1383, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33 Konu: 11
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1002/mma.1261
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.1372-1383

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.