𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Another bunch of superpotentials in terms of a master function

✍ Scribed by H. Fakhri


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
75 KB
Volume
265
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

✦ Synopsis


It is shown that shape invariance on the main quantum number n introduces a bunch of superpotentials, and, consequently, derives some quantum solvable systems in terms of a master function. Also, a representation of unitary parasupersymmetry algebra of order p by wavefunctions of solvable systems is derived.


πŸ“œ SIMILAR VOLUMES


Approximating a bandlimited function in
✍ U. Hettich; R.L. Stens πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 506 KB

In order to reconstruct a bandlimited signal f from its sampled values, it is a standard practice to construct a step function from the samples, and then to smooth this step function by restricting its Fourier transform. The resulting function is used as an approximation for f. The aim of this paper

A new expansion of the confluent hyperge
✍ Julio Abad; Javier Sesma πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 179 KB

An asymptotic expansion of the confluent hypergeometric function U(a,b,x) for large positive 2a-b is given in terms of modified Bessel functions multiplied by Buchholz polynomials, a family of double polynomials in the variables b and x with rational coefficients.

Casimir Effect for a Perfectly Conductin
✍ V.V. Nesterenko; G. Lambiase; G. Scarpetta πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 130 KB

The vacuum energy density of electromagnetic field inside a perfectly conducting wedge is calculated by making use of the local zeta function technique. This regularization completely eliminates divergent expressions in the course of calculations and gives rise to a finite expression for the energy