Intrinsic basis function in the Dyson boson mapping
This Brief Report deals with the solution of the shell-model Hamiltonian in the boson representation. In the present approach, the fermion Hamiltonian is exactly mapped to the boson space using the Dyson boson mapping. The problem of mapping the basis states is resolved by employing the intrinsic bo...
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| Veröffentlicht in: | Phys. Rev. C; (United States) 1989-04, Vol.39 (4), p.1641-1644 |
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| container_title | Phys. Rev. C; (United States) |
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| creator | Sheikh, JA |
| description | This Brief Report deals with the solution of the shell-model Hamiltonian in the boson representation. In the present approach, the fermion Hamiltonian is exactly mapped to the boson space using the Dyson boson mapping. The problem of mapping the basis states is resolved by employing the intrinsic boson basis. The method has been applied to a model Hamiltonian consisting of a monopole pairing and a deformation force. It is observed that only s and d bosons are dominant in the intrinsic wave function for the model case studied. This is synonymous to the interacting boson model approach. |
| doi_str_mv | 10.1103/PhysRevC.39.1641 |
| format | Article |
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In the present approach, the fermion Hamiltonian is exactly mapped to the boson space using the Dyson boson mapping. The problem of mapping the basis states is resolved by employing the intrinsic boson basis. The method has been applied to a model Hamiltonian consisting of a monopole pairing and a deformation force. It is observed that only s and d bosons are dominant in the intrinsic wave function for the model case studied. 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| ispartof | Phys. Rev. C; (United States), 1989-04, Vol.39 (4), p.1641-1644 |
| issn | 0556-2813 |
| language | eng |
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| source | American Physical Society Journals |
| subjects | 653001 - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models ANNIHILATION BASIC INTERACTIONS BOSON EXPANSION BOSONS DEFORMATION DYSON REPRESENTATION ELECTROMAGNETIC INTERACTIONS FERMIONS FUNCTIONS HAMILTONIANS INTERACTING BOSON MODEL INTERACTIONS MATHEMATICAL MODELS MATHEMATICAL OPERATORS MATRIX ELEMENTS MONOPOLES NUCLEAR DEFORMATION NUCLEAR MODELS NUCLEAR PHYSICS AND RADIATION PHYSICS PARTICLE PRODUCTION QUANTUM OPERATORS SHELL MODELS WAVE FUNCTIONS |
| title | Intrinsic basis function in the Dyson boson mapping |
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