An Operator Approach to the Madelung–Bohm Continuity Equation

ABSTRACT The probability continuity equation is solved within the Madelung–Bohm framework, assuming a separable phase expressed as . Using operator methods, the amplitude of the wave function is reformulated in a form that is more practical for application to any given initial condition. This results in the function , which characterizes the amplitude of the wave function, with being the transformation of the position operator via a squeeze‐like operator. To demonstrate how this result can be ap