Geometry of effective Hamiltonians

Details Geometry of effective Hamiltonians Geometry of effective Hamiltonians

2008-08-13

arxiv.org/abs/0808.1831v1

Phys.Rev.C78:044330,2008

Physics

Nuclear Physics

Nuclear Theory

1 figure

Scientific paper

10.1103/PhysRevC.78.044330

We give a complete geometrical description of the effective Hamiltonians common in nuclear shell model calculations. By recasting the theory in a manifestly geometric form, we reinterpret and clarify several points. Some of these results are hitherto unknown or unpublished. In particular, commuting observables and symmetries are discussed in detail. Simple and explicit proofs are given, and numerical algorithms are proposed, that improve and stabilize common methods used today.

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