A new series expansion in lattice statistics

The total energy W(a₀) lost by a charged particle in crossing a plate of thickness a₀ is calculated. Intermediate transition to the Heaviside transformation $\text{W}\text{?}\text{(a=}\text{1}\text{p}\text{)}$ is used. Several limiting cases of the Lorentz factor of particle and plate thickness are analyzed. Theory is compared with experiment.