A test of boson mappings of fermion systems

Naotaka Yoshinaga, Yelamanchili Durga Devi, A. Arima +2 more

H. B. Geyer

J. Dukelsky, Daniel Huerga

J. Dukelsky, Stuart Pittel

A fermion mapping of boson-fermion pairs is proposed. The mapping is applied to an exactly solvable two-level test model and shown to be useful for treating strong boson-fermion correlations in quantum systems.

Joseph N. Ginocchio, Calvin W. Johnson

C. Martin Vincent, L. J. Henry, G.-K. Kim

Dyson mapping is directly applied to J=0 states of a system of six fermions in a single-j shell. It is found that the quality of the wave functions is drastically reduced when bosons of higher angular momentum are omitted. Nevertheless, a truncated Dyson boson method of calculating energies is explored.