Exponential behavior of a quantum system in a macroscopic medium

TL;DR

This paper derives an exponential behavior for a quantum system in a macroscopic medium, providing insights into quantum measurement and dissipation in the weak-coupling limit.

Contribution

It introduces a solvable dynamical model demonstrating exponential behavior in quantum systems within a macroscopic environment, linking to measurement and dissipation.

Findings

Exponential behavior occurs at all times in the model.

Implications for the quantum measurement problem are discussed.

Connections between dissipation and exponential decay are explored.

Abstract

An exponential behavior at all times is derived for a solvable dynamical model in the weak-coupling, macroscopic limit. Some implications for the quantum measurement problem are discussed, in particular in connection with dissipation.