Quantum in Action

Hamza Jirari, H. Kröger, G. Melkonyan +2 more

We have recently suggested a quantum action, which has the form of a classical action and takes into account quantum effects via renormalized action parameters. Here we apply it to quantum chaos. We study a system in 2-D with weak anharmonic coupling ($V_{coupl} \propto x^{2}y^{2}$) being classically chaotic. We construct the quantum action at finite temperature. We compute Poincaré sections of the quantum action at that temperature and compare it with those of the classical action. We observe chaotic behavior in both cases.

David Finkelstein

Caron, L. A., H. Kröger, X.Q. Luo +2 more

We use the quantum action to study the dynamics of quantum system at finite temperature. We construct the quantum action non-perturbatively and find temperature dependent action parameters. Here we apply the quantum action to study quantum chaos. We present a numerical study of a classically chaotic 2-D Hamiltonian system - harmonic oscillators with anharmonic coupling. We compare Poincaré sections for the quantum action at finite temperature with those of classical action.

David Finkelstein

Charlotte D. Shelton

Mara Block

This paper attempts to review the theories of quantum divine action and to construct a panentheistic approach to noninterventionist divine action. After reviewing various interpretations of quantum mechanics, I have suggested how the Copenhagen Interpretation is the most fruitful place to focus this discussion because of the ontological openness it incorporates. In order to elucidate the relationship between divine action and quantum theory, it is necessary to consider the different understandings of God that have been presupposed by these discussions. I have examined the arguments of four of the major proponents of quantum divine action. I have argued that the panentheistic understanding of God and God's relationship to the universe offers the most promising avenue to a noninterventionist account of God's direct action at the quantum level. After assessing and responding to some of the problems associated with quantum divine action, I have shown that quantum chaos is an attractive prospect since with this proposal it is not necessary for God's action at the quantum level to have macroscopic effects.