Sergi, Alessandro (2006) Quantum-Classical Dynamics of Wave Fields. arXiv:quant-ph/0511229. (Unpublished)
This is the latest version of this item.
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.
|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|
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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