The boson basis for the fermion shell-model problem has been realized over a representation space Vn(n - 1)/2 of the unitary group U(n(n - l)/2). A contraction of this space was found to yield the generator algebra of U(n). Based on this result it is shown that the transformations induced by the Dyson-mapped boson Hamiltonian on the Dyson boson basis are identical to the corresponding transformations by the fermion Hamiltonian on the shell-model basis.
|Number of pages||5|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 1985|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics