Holonomy, Aharonov-Bohm effect and phonon scattering in superfluids
| dc.creator | Furtado, Claudio | |
| dc.creator | Carvalho, A. M. de M. | |
| dc.creator | de Andrade, L. C. Garcia | |
| dc.creator | Moraes, F. | |
| dc.date | 2004-01-08 | |
| dc.date.accessioned | 2026-07-07T03:28:23Z | |
| dc.date.available | 2026-07-07T03:28:23Z | |
| dc.description | In this article we discuss the analogy between superfluids and a spinning thick cosmic string. We use the geometrical approach to obtain the geometrical phases for a phonon in the presence of a vortex. We use loop variables for a geometric description of Aharonov-Bohm effect in these systems. We use holonomy transformations to characterize globally the "space-time" of a vortex and in this point of view we study the gravitational analog of the Aharonov-Bohm effect in this system. We demonstrate that in the general case the Aharonov-Bohm effect has a contribution both from the rotational and the translational holonomy. We study also Berrys quantum phase for phonons in this systems. | |
| dc.description | 15 pages, Revtex4 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0401025 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0401025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34808 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Holonomy, Aharonov-Bohm effect and phonon scattering in superfluids | |
| dc.type | text |