Positive-definite states of a Klein-Gordon type particle

TL;DR

This paper proposes a new approach to interpret the probability distribution of Klein-Gordon particles, identifying physically realizable states with positive-definite probabilities.

Contribution

It introduces a method to exclude non-physical states, ensuring all remaining states have positive-definite probability distributions.

Findings

Certain states are physically unrealizable.

Remaining states have positive-definite probabilities.

The interpretation supports consistent probability assignment.

Abstract

A possible way for the consistent probability interpretation of the Klein-Gordon equation is proposed. It is assumed that some states of a scalar charged particle cannot be physically realized. The rest of quantum states are proven to have positive-definite probability distributions.