Additional applications of the Lambert W function in physics

In this paper, using the Lambert W function, I derive closed-form analytical expressions for the decay constant of an exponentially decaying process and the time constant of a process subject to a linear resistive force. Similarly, I derive closed-form analytical formulae for the electrical resistivity of a metal and the temperature of a thermionic emitter material. Besides their theoretical importance, the results obtained will be of interest to teachers involved in undergraduate physics experiments. (paper)