Mt. Thomaz et Afrd. Piza, EQUIVALENCE OF CLASSICAL SPINS AND HARTREE-FOCK-BOGOLIUBOV APPROXIMATION OF THE FERMIONIC ANHARMONIC-OSCILLATOR, Physica. A, 218(1-2), 1995, pp. 237-244
We show that the Hartree-Fock-Bogoliubov (alias Gaussian) approximatio
n of the initial condition problem of the fermionic anharmonic oscilla
tor is equivalent to a bosonic Hamiltonian system of two classical spi
ns.