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New Solvable Singular Potentials | | R. Dutt
; A. Gangopadhyaya
; C. Rasinariu
; U. Sukhatme
; | | Date: |
13 Nov 2000 | | Journal: | J.Phys. A34 (2001) 4129-4142 | | Subject: | High Energy Physics - Theory; Mathematical Physics | hep-th math-ph math.MP quant-ph | | Abstract: | 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. | | Source: | arXiv, hep-th/0011096 | | Services: | Forum | Review | PDF | Favorites | |
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