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A simple mathematical model for GRB pulses is postulated in both time andenergy. The model breaks GRB pulses up into component functions, one generallight curve function exclusively in the time dimension and four componentfunctions exclusively in the energy dimension. Each component function ofenergy is effectively orthogonal to the other energy-component functions. Themodel is a good statistical fit to several of the most fluent separable GRBpulses known. Even without theoretical interpretation, the model may beimmediately useful for fitting prompt emission from GRB pulses across energychannels with a minimal number of free parameters, sometimes far fewer thanfreshly fitting a GRB pulse in every energy band separately. Some theoreticalimplications of the model might be particularly interesting, however, as thetemporal component (e.g. the shape of the light curve) is well characterizedmathematically by the well known Planck distribution.

A Simple Energy-Dependent Model for GRB Pulses with Interesting Physical Implications