New Solvable Singular PotentialsJournal of Physics A: Mathematical and General
AbstractWe 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.
Creative Commons LicenseCreative Commons Attribution-Noncommercial 3.0
Copyright Statement© 2001 IOPScience
Citation InformationR. 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)
Available at: http://works.bepress.com/asim_gangopadhyaya/14/