%0 Journal Article
%T New Solvable Singular Potentials
%A R. Dutt
%A A. Gangopadhyaya
%A C. Rasinariu
%A U. Sukhatme
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/34/19/311
%X We obtain three new solvable, real, shape invariant potentials starting from the harmonic oscillator, P\"oschl-Teller I and P\"oschl-Teller II potentials on the half-axis and extending their domain to the full line, while taking special care to regularize the inverse square singularity at the origin. The regularization procedure gives rise to a delta-function behavior at the origin. Our new systems possess underlying non-linear potential algebras, which can also be used to determine their spectra analytically.
%U http://arxiv.org/abs/hep-th/0011096v1