Energy levels of a physical system and eigenvalues of an operator with a singular potential

AuthorsSeyfollah Mosazadeh
JournalReports on Mathematical Physics
Presented by‎University of Kashan
Page number137-148
Serial number2
Volume number82
Paper TypeFull Paper
Published At2018
Journal GradeScientific - research
Journal TypeTypographic
Journal CountryUnited Kingdom
Journal IndexISI (Elsevier)


In this paper‎, ‎we formulate the boundary value problems for second-order differential equations having singular potentials of the form $Ax^{-2}+f(x)x^{-1}+q_{0}(x)$‎, ‎where $q_{0}(x)\in L_{\mathrm{loc}}(\Omega)$ and $\Omega=(0,b)$‎. ‎First‎, ‎the existence and uniqueness theorems are proved‎, ‎and the characteristic function is constructed‎. ‎Then‎, ‎the method of providing the energy levels of singular systems is described with some examples‎

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