A Ludu and R F O'Connell 2002 Phys. Scr. 65 369 doi:10.1238/Physica.Regular.065a00369
A Ludu1 and R F O'Connell2
Show affiliationsWe 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.
Issue 5 (2002)
Received 14 May 2001
A Ludu and R F O'Connell 2002 Phys. Scr. 65 369
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