FACTORIZATION OF CERTAIN EVOLUTION OPERATORS USING LIE-ALGEBRA - CONVERGENCE THEOREMS


DEMIRALP M., RABITZ H.

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.6, ss.193-204, 1991 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 6 Konu: 2
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1007/bf01192580
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Sayfa Sayıları: ss.193-204

Özet

This work concerns convergence theorems with a sequence of xiBAR-approximants for exponential evolution operators with Lie operator arguments. A companion paper presents the formulation of the xi-approximants. The theorems presented in this paper give the conditions which are sufficient for convergence of the sequences. Although the main emphasis will be on convergence properties of the one-dimensional case, the generalization to multidimensional cases is quite straightforward.