The Tomonaga Model

Abstract

The Hamiltonian of the one-dimensional electron gas is not exactly solvable. Tomonaga upon recognizing that the excitations of the electron gas are approximately bosons, although the elementary particles, the electrons, are fermions, went on to assume that the excitations are exactly bosons. The resulting model, the Tomonaga model immediately becomes exactly solvable. This preliminary work reviews briefly what has been done so far with the Tomonaga model; details the Tomonaga model and all the equations it entails, as a starting point for subsequent studies. There is the likelihood that the model may, in the not too distant future, become as important as the Hubbard model.

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 205 – 212