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
Another bunch of superpotentials in terms of a master function
β 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.
β¦ 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.
π SIMILAR VOLUMES
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.
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