Cosmological fluid dynamics in the Schrödinger formalism
| dc.creator | Johnston, Rebecca | |
| dc.creator | Lasenby, A. N. | |
| dc.creator | Hobson, M. P. | |
| dc.date | 2009-04-03 | |
| dc.date.accessioned | 2026-07-07T13:00:21Z | |
| dc.date.available | 2026-07-07T13:00:21Z | |
| dc.description | We investigate the dynamics of a cosmological dark matter fluid in the Schrödinger formulation, seeking to evaluate the approach as a potential tool for theorists. We find simple wave-mechanical solutions of the equations for the cosmological homogeneous background evolution of the dark matter field, and use them to obtain a piecewise analytic solution for the evolution of a compensated spherical overdensity. We analyse this solution from a `quantum mechanical' viewpoint, and establish the correct boundary conditions satisfied by the wavefunction. Using techniques from multi-particle quantum mechanics, we establish the equations governing the evolution of multiple fluids and then solve them numerically in such a system. Our results establish the viability of the Schrödinger formulation as a genuine alternative to standard methods in certain contexts, and a novel way to model multiple fluids. | |
| dc.description | 12 pages, 8 figures, submitted to MNRAS | |
| dc.identifier | https://arxiv.org/abs/0904.0611 | |
| dc.identifier | http://arxiv.org/abs/0904.0611 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225818 | |
| dc.subject | Cosmology and Nongalactic Astrophysics | |
| dc.title | Cosmological fluid dynamics in the Schrödinger formalism | |
| dc.type | text |