### 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 |
---|---|

Pages (from-to) | 2067-2071 |

Number of pages | 5 |

Journal | Journal of Mathematical Physics |

Volume | 26 |

Issue number | 8 |

Publication status | Published - 1985 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*26*(8), 2067-2071.

}

*Journal of Mathematical Physics*, vol. 26, no. 8, pp. 2067-2071.

**Boson basis realization for shell-model fermion problem.** / Gambhir, Y. K.; Nikam, R. S.; Sarma, C. R.; Sheikh, J. A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Boson basis realization for shell-model fermion problem

AU - Gambhir, Y. K.

AU - Nikam, R. S.

AU - Sarma, C. R.

AU - Sheikh, J. A.

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36549091565&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549091565&partnerID=8YFLogxK

M3 - Article

VL - 26

SP - 2067

EP - 2071

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 8

ER -