The use of the Kontorovich-Lebedev transform in an analysis of regularized Schrodinger equation

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

Yakubovich, S (Autor) FCUP; Vieira, N (Autor) Outra

Revista

Título: Integral Transforms and Special Functions

Vol. 24

Páginas: 9-22

ISSN: 1065-2469

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-1VH

DOI: 10.1080/10652469.2011.648380

Abstract (EN): In this paper, we introduce a notion of the Schrodinger kernel associated with the familiar KontorovichLebedev transform. In order to control its singularity at infinity, we need to implement the so-called regularization procedure. Hence, we obtain a sequence of regularized kernels which converge to the original kernel when a regularization parameter tends to zero. We study differential properties of the regularized kernel and a solution for a certain type of regularized Schrodinger equation. A family of regularized Weierstrass's transforms is presented. Finally, we examine a pointwise convergence of this sequence of operators, when the regularization parameter tends to zero.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14