Sergi, Alessandro (2006) Quantum-Classical Dynamics of Wave Fields. arXiv:quant-ph/0511229. (Unpublished)
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Abstract
An approach to the quantum-classical mechanics of
phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields.
Such wave fields obey a system of coupled non-linear equations that can be written by means of a suitable non-Hamiltonian bracket.
As an example, the theory is applied to the relaxation dynamics of the spin-boson model.
In the adiabatic limit, a good agreement with calculations
performed by the operator approach is obtained.
Moreover, the theory proposed in this paper
can take nonadiabatic effects into account
without resorting to surface-hopping approximations.
Hence, the results obtained follow qualitatively those
of previous surface-hopping calculations
and increase by a factor of (at least) two the time length
over which nonadiabatic dynamics can be propagated
with small statistical errors.
Moreover, it is worth to note that the dynamics of
quantum-classical wave fields here proposed is a straightforward non-Hamiltonian generalization of the formalism for non-linear quantum mechanics that Weinberg introduced recently.
Item Type: | Other |
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Additional Information: | Revised version. A numerical study of the adiabatic and nonadiabatic dynamics of the spin-boson model is presented. |
Subjects: | M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche M.U.S. - Contributi Scientifici > 02 - Scienze fisiche |
Depositing User: | Dr Alessandro Sergi |
Date Deposited: | 13 Feb 2007 |
Last Modified: | 13 Apr 2010 11:17 |
URI: | http://cab.unime.it/mus/id/eprint/399 |
Available Versions of this Item
-
Non-Hamiltonian Quantum Mechanics.
Relation between operator and wave schemes of motion. (deposited 02 Dec 2005)-
Quantum-Classical Dynamics of Wave Fields. (deposited 12 May 2006)
- Quantum-Classical Dynamics of Wave Fields. (deposited 13 Feb 2007) [Currently Displayed]
-
Quantum-Classical Dynamics of Wave Fields. (deposited 12 May 2006)
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