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

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.