102 citations · 108 across the 14 of their papers we have counts for
14 papers
A Formulation of Quantum Fluid Mechanics and Trajectories
James P. Finley
A formalism of classical mechanics is given for time-dependent many-body states of quantum mechanics, describing both fluid flow and point mass trajectories. The familiar equations…
Fields and Equations of Classical Mechanics for Quantum Mechanics
James P. Finley
A generalized Euler equation of fluid dynamics is derived for describing many-body states of quantum mechanics. The Eulerian Eq. can be viewed as representing the interaction of tw…
Developments of Bohmian Mechanics
James P. Finley
Bohmian mechanics is a deterministic theory of quantum mechanics that is based on a set of n velocity functions for n particles, where these functions depend on the wavefunction fr…
Refined Madelung Equations
James P. Finley
The Madelung equations are two equations that are equivalent to the one-body time-dependent Schroedinger equation. In this paper, the Madelung equation, whose gradient is an Euler…
The Fluid Dynamics of the One-Body Stationary States of Quantum Mechanics with Real Valued Wavefunctions
James P. Finley
It is demonstrated that the probability density function, given by the square of a quantum mechanical wavefunction that is a real-valued eigenvector of a time-independent, one-body…
A Quantum Mechanics Conservation of Energy Equation for Stationary States with Real Valued Wave Functions
James P. Finley
Many-body quantum-mechanical stationary states that have real valued wavefunctions are shown to satisfy a classical conservation of energy equation with a kinetic energy function.…