Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
| dc.creator | Ivanov, D. A. | |
| dc.creator | Skvortsov, M. A. | |
| dc.date | 2005-11-01 | |
| dc.date | 2006-03-29 | |
| dc.date.accessioned | 2026-07-07T06:45:46Z | |
| dc.date.available | 2026-07-07T06:45:46Z | |
| dc.description | We analyze the perturbative series of the Keldysh-type sigma-model proposed recently for describing the quantum mechanics with time-dependent Hamiltonians from the unitary Wigner-Dyson random-matrix ensemble. We observe that vertices of orders higher than four cancel, which allows us to reduce the calculation of the energy-diffusion constant to that in a special kind of the matrix ϕ^4 model. We further verify that the perturbative four-loop correction to the energy-diffusion constant in the high-velocity limit cancels, in agreement with the conjecture of one of the authors. | |
| dc.description | 27 pages, 15 figures; typos corrected, one reference added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0511030 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0511030 | |
| dc.identifier | Nucl. Phys. B 737, 304 (2006) | |
| dc.identifier | doi:10.1016/j.nuclphysb.2006.01.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103137 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model | |
| dc.type | text |