Complete set of radial Schrödinger equation solutions with a linear λ-dependent potential

The completeness relation is found for the set of Jost solutions of the radial Schrödinger equation with a linear λ-dependent potential in the space of twice continuously differentiable functions defined on the half-axis and satisfying some conditions.

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Bibliographic Details
Published inPhysics letters. A Vol. 101; no. 2; pp. 72 - 74
Main Authors Pivovarchik, V.N., Poplavsky, I.V., Suzko, A.A.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.1984
Elsevier Science
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
Wave equation
Radial equation
Schroedinger equation
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Summary:The completeness relation is found for the set of Jost solutions of the radial Schrödinger equation with a linear λ-dependent potential in the space of twice continuously differentiable functions defined on the half-axis and satisfying some conditions.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(84)90097-5