Abstract. We provide a simple analytic formula in terms of elementary functions for the Laplace transform _l(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in the variable p with constant coefficients for the first l - 1 powers, and with an inverse tangent function of argument 1/p as the coefficient of the power l. We apply this formula for the Laplace transform of the memory function related to the Langevin equation in a one-dimensional Debye model.

PACS numbers: 02.30.Gp, 02.30.Uu

Print publication: Issue 5 (2002)
Received 14 May 2001