Classical and Quantum Limits in Bohmian Quantum Cosmology

TL;DR

This paper explores the classical limit in Bohmian quantum cosmology, revealing that it cannot be achieved simply by taking the Planck constant to zero due to complex quantum potential behaviors.

Contribution

It provides a detailed analysis of the classical limit in Bohmian quantum cosmology, highlighting the complex role of the Planck constant and quantum potential.

Findings

Classical limit not obtained by zeroing Planck constant

Quantum potential dominates in the quantum regime

Regions with mixed powers of Planck constant identified

Abstract

In this paper we have investigated the classical limit in Bohmian quantum cosmology. It is observed that in the quantum regime where the quantum potential is greater than the classical one, one has an expansion in terms of negative powers of the Planck constant. But in the classical limit there are regions having positive powers of the Planck constant, and regions having negative powers and also regions having both. The conclusion is that the Bohmian classical limit cannot be obtained by letting the Planck constant goes to zero.