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The diagonalization of quantum field Hamiltonians

Dean Lee·Nathan Salwen·Daniel Lee
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Abstract

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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Dean Lee, Nathan Salwen, Daniel Lee. 2000-10-24. The diagonalization of quantum field Hamiltonians. https://doi.org/10.1016/s0370-2693(01)00197-6

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