Mass dependence of the gravitationally-induced wave-function phase

TL;DR

This paper calculates how gravitational interactions influence the mass dependence of the wave-function phase, identifying conditions for terms involving mass squared and gravitational constant, and discusses their potential observability.

Contribution

It provides a detailed analysis of the mass dependence of the wave-function phase under gravity, highlighting conditions for observable effects.

Findings

Identifies conditions for mass-squared and gravitational constant terms in the phase.

Discusses potential experimental observability of gravitationally-induced phase terms.

Analyzes the leading mass dependence in gravitationally affected wave functions.

Abstract

The leading mass dependence of the wave function phase is calculated in the presence of gravitational interactions. The conditions under which this phase contains terms depending on both the square of the mass and the gravitational constant are determined. The observability of such terms is briefly discussed.