Quantum Projector Method on Curved Manifolds
| dc.creator | Melik-Alaverdian, V. | |
| dc.creator | Ortiz, G. | |
| dc.creator | Bonesteel, N. E. | |
| dc.date | 2000-01-10 | |
| dc.date.accessioned | 2026-07-07T02:36:31Z | |
| dc.date.available | 2026-07-07T02:36:31Z | |
| dc.description | A generalized stochastic method for projecting out the ground state of the quantum many-body Schrödinger equation on curved manifolds is introduced. This random-walk method is of wide applicability to any second order differential equation (first order in time), in any spatial dimension. The technique reduces to determining the proper ``quantum corrections'' for the Euclidean short-time propagator that is used to build up their path-integral Monte Carlo solutions. For particles with Fermi statistics the ``Fixed-Phase'' constraint (which amounts to fixing the phase of the many-body state) allows one to obtain stable, albeit approximate, solutions with a variational property. We illustrate the method by applying it to the problem of an electron moving on the surface of a sphere in the presence of a Dirac magnetic monopole. | |
| dc.description | 28 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0001121 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0001121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15944 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum Projector Method on Curved Manifolds | |
| dc.type | text |