Quantum-Classical Dynamics of Wave Fields

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 (Unpublished)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.

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]

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