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Fundamental Journal of Mathematical Physics

ISSN: 2249-9776
Volume 2, Issue 2, 2012, Pages 27-79
 
Two parameters nonrelativistic δ - sphere interaction in quantum mechanics
Author(s): A. Vyabandi and J. Shabani
Pages: 27-48
 
Abstract
We study a new two parameters nonrelativistic δ - sphere and δ - sphere plus coulomb interactions. We provide the mathematical definitions of hamiltonians, solve the resolvents equations of both two models and obtain interesting results about spectral properties, and scattering data.



Keywords and phrases

boundary conditions problem, δ - sphere interactions, three-dimensional Schrodinger operator, resolvent equation, spectral properties, scattering theory.

 
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