### Abstract

The boson basis for the fermion shell-model problem has been realized over a representation space V_{n(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.

Original language | English |
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Pages (from-to) | 2067-2071 |

Number of pages | 5 |

Journal | Journal of Mathematical Physics |

Volume | 26 |

Issue number | 8 |

Publication status | Published - 1985 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Gambhir, Y. K., Nikam, R. S., Sarma, C. R., & Sheikh, J. A. (1985). Boson basis realization for shell-model fermion problem.

*Journal of Mathematical Physics*,*26*(8), 2067-2071.