Hybrid dynamics as a constrained quantum system

6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena

物理学;力学

Buric´, N.^1 ; Menda, I.^1 ; Popovic´, D.B.^1 ; Radonjic´, M.^1 ; Prvanovic´, S.^1

Institute of Physics, University of Belgrade, PO Box 68, 11000 Belgrade, Serbia^1

关键词: Classical behavior;    Classical systems;    Classical-quantum;    Dynamical equation;    Hamiltonian formulations;    Hybrid dynamical;    Non-linear constraints;    Quantum dynamics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/442/1/012027/pdf
DOI  :  10.1088/1742-6596/442/1/012027

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Hamiltonian formulation of quantum dynamics and nonlinear constraints are used to derive dynamical equations of a hybrid classical-quantum system. Starting with a compound quantum system in the Hamiltonian formulation, conditions for classical behavior are imposed on one of its subsystems and the corresponding hybrid dynamical equations are derived. The dynamical equations for hybrid systems in pure and in mixed states indicate that the hybrid systems have properties that are not exhausted by those of quantum and classical systems.