Hermitian boson mapping and finite truncation

Details Hermitian boson mapping and finite truncation Hermitian boson mapping and finite truncation

1994-05-23

arxiv.org/abs/nucl-th/9405026v1

Phys.Rev.C50:571-575,1994

Physics

Nuclear Physics

Nuclear Theory

12 pages in RevTex with no figures, Los Alamos preprint # LA-UR-94-1469

Scientific paper

10.1103/PhysRevC.50.R571

Starting from a general, microscopic fermion-to-boson mapping that preserves Hermitian conjugation, we discuss truncations of the boson Fock space basis. We give conditions under which the exact boson images of finite fermion operators are also finite (e.g., a 1+2-body fermion Hamiltonian is mapped to a 1+2-body boson Hamiltonian) in the truncated basis. For the most general case, where the image is not necessarily exactly finite, we discuss how to make practical and controlled approximations.

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