Optimal auxiliary Hamiltonians for truncated boson-space calculations by means of a maximal-decoupling variational principle
| Autor: | Ching-teh Li |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Nuclear and High Energy Physics High Energy Physics::Phenomenology Nuclear structure Scalar boson Hermitian matrix symbols.namesake Variational principle Quantum mechanics symbols Interacting boson model Hamiltonian (quantum mechanics) Multipole expansion Mathematical physics Boson |
| Zdroj: | Physical Review C. 44:1040-1048 |
| ISSN: | 1089-490X 0556-2813 |
| DOI: | 10.1103/physrevc.44.1040 |
| Popis: | A new method based on a maximal-decoupling variational principle is proposed to treat the Pauli-principle constraints for calculations of nuclear collective motion in a truncated boson space. The viability of the method is demonstrated through an application to the multipole form of boson Hamiltonians for the single-{ital j} and nondegenerate multi-{ital j} pairing interactions. While these boson Hamiltonians are Hermitian and contain only one- and two-boson terms, they are also the worst case for truncated boson-space calculations because they are not amenable to any boson truncations at all. By using auxiliary Hamiltonians optimally determined by the maximal-decoupling variational principle, however, truncations in the boson space become feasible and even yield reasonably accurate results. The method proposed here may thus be useful for doing realistic calculations of nuclear collective motion as well as for obtaining a viable interacting-boson-model type of boson Hamiltonian from the shell model. |
| Databáze: | OpenAIRE |
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