A Method to Calculate a Delta Function of the Hamiltonian by the Suzuki-Trotter Decomposition
| dc.creator | Munehisa, T. | |
| dc.creator | Munehisa, Y. | |
| dc.date | 2000-01-21 | |
| dc.date.accessioned | 2026-07-07T02:36:36Z | |
| dc.date.available | 2026-07-07T02:36:36Z | |
| dc.description | We propose a new method to calculate expectation values of a delta function of the Hamiltonian, < Ψ\mid δ(\hat{H} - E)\mid Ψ>. Since the delta function can be replaced with a Gaussian function, we evaluate < Ψ\mid \sqrt{\fracβπ} e^{-β(\hat{H} - E)^2} \mid Ψ> with large βadopting the Suzuki-Trotter decomposition. Errors of the approximate calculations with the finite Trotter number N_t are estimated to be O(1/N_t^K) for the Kth-order decomposition. The distinct advantage of this method is that the convergence is guaranteed even when the state \mid Ψ> contains the eigenstates whose energies spread over the wide range. In this paper we give a full description of our method within the quantum mechanical physics and present the numerical results for the harmonic oscillator problems in one- and three-dimensional space. | |
| dc.description | 13 pages, 8 figures(eps-files), latex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0001304 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0001304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15980 | |
| dc.subject | Materials Science | |
| dc.title | A Method to Calculate a Delta Function of the Hamiltonian by the Suzuki-Trotter Decomposition | |
| dc.type | text |