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Spectral analysis for a three-dimensional superradiance problem
Authors:Indranil SenGupta
Affiliation:Texas A&M University, College Station, TX, USA
Abstract:In this paper three-dimensional superradiance problem is considered and a differential operator that commutes with the integral operator related to the problem is obtained. All the eigenfunctions of the differential operator are found and a complete set of eigensolutions for the three-dimensional superradiance problem is obtained.
Keywords:Bessel functions   Quantum mechanics   Eigenvalue and eigenvector   Continued fractions   Singular Sturm-Liouville problem
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