The role of diagonalization within a diagonalization/Monte Carlo scheme

Details The role of diagonalization within a diagonalization/Monte Carlo scheme The role of diagonalization within a diagonalization/Monte Carlo scheme

2000-10-31

arxiv.org/abs/hep-lat/0010095v1

Int.J.Mod.Phys. A16S1C (2001) 1245-1247

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, to appear in the proceedings of DPF2000, Columbus, August 2000

Scientific paper

10.1142/S0217751X01009430

We discuss a method called quasi-sparse eigenvector diagonalization which finds the most important basis vectors of the low energy eigenstates of a quantum Hamiltonian. It can operate using any basis, either orthogonal or non-orthogonal, and any sparse Hamiltonian, either Hermitian, non-Hermitian, finite-dimensional, or infinite-dimensional. The method is part of a new computational approach which combines both diagonalization and Monte Carlo techniques.

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