The one-dimensional Schrodinger operator on bounded time scales

TUNA H., Ozek M. A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.40, sa.1, ss.78-83, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Konu: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/mma.3966
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.78-83

Özet

In this paper, we consider the one-dimensional Schrodinger operator on bounded time scales. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self-adjoint, and other extensions of the dissipative Schrodinger operators in terms of boundary conditions. In particular, using Lidskii's theorem, we prove a theorem on completeness of the system of root vectors of the dissipative Schrodinger operators on bounded time scales. Copyright (C) 2016 John Wiley & Sons, Ltd.