Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator [Erratum]

Abstract

In S. Albeverio, S. Yu. Dobrokhotov, and E. S. Semenov “Splitting formulas for the higher and lower energy levels of the one-dimensional Schrödinger operator” (Vol. 138, No. 1, January, 2004, pp. 98–106), unfortunately, the paper by S. Yu. Slavyanov (Differ. Equations (1969), 5, No. 2, pp. 313–325) was omitted. In that paper, formula (4) for splitting the lower energy levels was published earlier than in the works cited [3]–[5], [9]. Also, the book in which that formula was also published was omitted: S. Yu. Slavyanov and B. Lay, Special Functions: A Unified Theory Based on an Analysis of Singularities [in Russian], Nevskii Dialekt, St. Petersburg (2002). The authors apologize for this omission.