Boson basis realization for shell-model fermion problem

Y. K. Gambhir, R. S. Nikam, C. R. Sarma, J. A. Sheikh

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Abstract

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.

Original languageEnglish
Pages (from-to)2067-2071
Number of pages5
JournalJournal of Mathematical Physics
Volume26
Issue number8
Publication statusPublished - 1985

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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    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.