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Current Status of Very-Large-Basis Hamiltonian Diagonalizations for Nuclear Physics

2018/09/20 by Calvin W. Johnson, Johnson, Calvin W.
Physics and Astronomy · Chemistry · #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Advanced NMR Techniques and Applications

paper · pdf · doi:10.48550/arxiv.1809.07869

Abstract

Today there are a plethora of many-body techniques for calculating nuclear wave functions and matrix elements. I review the status of that reliable workhorse, the interacting shell model, a.k.a. configuration-interaction methods, a.k.a. Hamiltonian diagonalization, and survey its advantages and disadvantages. With modern supercomputers one can tackle dimensions up to about 20 billion! I discuss how we got there and where we might go in the near future.

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