A conjecture for some partial differential operators on \(L^ 2(\mathbb{R}^ n)\)
type: Item
instance of: scholarly article
title: A conjecture for some partial differential operators on \(L^ 2(\mathbb{R}^ n)\)
zbMATH Open document ID: 0831.35146
author: Pl. Muthuramalingam
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1995-03-23T00:00:00Z
review text: Selfadjoint partial differential operators of the form \(h(- i \nabla) + (1 + x^2)^{-\delta}\) on \(L^2 (\mathbb{R}^n)\) are studied. Employing the Enss method [\textit{V. Enss}, Commun. Math. Phys. 61, 285-291 (1978; Zbl 0389.47005)] it is shown that the wave operators exist and that their range is the absolutely continuous subspace. This holds for \(h\) in a class of polynomials.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 47A40
zbMATH DE Number: 729853
zbMATH Keywords: Enss method
zbMATH Keywords: wave operators
reviewed by: Joachim Asch
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 729853