The diagonalization of quantum field Hamiltonians

Details The diagonalization of quantum field Hamiltonians The diagonalization of quantum field Hamiltonians

2000-02-29

arxiv.org/abs/hep-th/0002251v4

Phys.Lett. B503 (2001) 223-235

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 8 figures, new material added

Scientific paper

10.1016/S0370-2693(01)00197-6

We introduce a new diagonalization 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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