New Solvable Singular Potentials

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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.
19 pages, 4 figures

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High Energy Physics - Theory, Mathematical Physics, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/185494

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0011096
 http://arxiv.org/abs/hep-th/0011096
 J.Phys.A34:4129-4142,2001
 doi:10.1088/0305-4470/34/19/311

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arXiv