A Quasi-Newtonian Approach to Bohmian Mechanics I: Quantum Potential

TL;DR

This paper introduces a quasi-Newtonian approach to Bohmian mechanics, deriving quantum potential without relying on the Schrödinger equation, and explores its conceptual significance in quantum theory.

Contribution

It presents a novel quasi-Newtonian framework for Bohmian mechanics that derives quantum potential independently of the Schrödinger equation.

Findings

Quantum potential form is restricted by a new derived equation.

Quantum potential can be determined without wave functions.

The approach offers a new perspective on the conceptual foundations of quantum theory.

Abstract

In this article, we investigate Bohm's view of quantum theory, especially Bohm's quantum potential, from a new perspective. We develop a quasi-Newtonian approach to Bohmian mechanics. We show that to arrive at Bohmian formulation of quantum mechanics, there is no necessity to start from the Schr\"odinger equation. We also obtain an equation that restricts the possible forms of quantum potential and determines the functional form of it without appealing to the wave function and the Schr\"odinger equation. Finally, we discuss about the significance of quantum potential in the conceptual structure of quantum theory.