That equation named for this scientist relates the system's Laplacian with the negative "wavenumber squared".
When solving one equation named for this scientist in spherical coordinates, Bessel functions with half integer orders are obtained. That equation named for this scientist relates the system's Laplacian with the negative "wavenumber squared". One quantity named for this scientist may be found by multiplying negative kT times the natural log of the partition function, or by taking the (*) Legendre transform of internal energy with respect to entropy. That quantity named for this scientist may also be calculated as internal energy minus the product of absolute temperature and entropy. That quantity named for him describes the amount of useful work obtainable from a closed system. For 10 points, name this German physicist who names a type of "free energy".
When solving one equation named for this scientist in spherical coordinates, Bessel functions with half integer orders are obtained.
Hermann von Helmholtz 