New Solvable Singular Potentials
Dutt, R. ; Gangopadhyaya, A. ; Rasinariu, C. ; Sukhatme, U.
arXiv, 0011096 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-11-12
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Quantum Physics 
@article{0011096,
     author = {Dutt, R. and Gangopadhyaya, A. and Rasinariu, C. and Sukhatme, U.},
     title = {New Solvable Singular Potentials},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011096}
}

Dutt, R.; Gangopadhyaya, A.; Rasinariu, C.; Sukhatme, U. New Solvable Singular Potentials. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011096/