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New Solvable Singular Potentials
Journal of Physics A: Mathematical and General
  • R. Dutt, Visva Bharati University
  • Asim Gangopadhyaya, Loyola University Chicago
  • C. Rasinariu, Columbia College Chicago
  • Uday P. Sukhatne, University of Illinois at Chicago
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We obtain three new solvable, real, shape invariant potentials starting from the harmonic oscillator, Pöschl-Teller I and Pöschl-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.
Author Posting. © IOPScience, 2001. This is the author's version of the work. It is posted here by permission of IOPScience for personal use, not for redistribution. The definitive version was published in J. Phys. A: Math. Gen. 34 4129.
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R. Dutt, Asim Gangopadhyaya, C. Rasinariu and Uday P. Sukhatne. "New Solvable Singular Potentials" Journal of Physics A: Mathematical and General Vol. 34 Iss. 4129 (2001)
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