Developments of Bohmian Mechanics
- URL: http://arxiv.org/abs/2110.01143v1
- Date: Mon, 4 Oct 2021 01:30:03 GMT
- Title: Developments of Bohmian Mechanics
- Authors: James P. Finley
- Abstract summary: Bohmian mechanics is a deterministic theory of quantum mechanics.
It is not applicable to stationary states, since the velocity field for stationary states is the zero function.
An alternative to Bohmian mechanics has been formulated, based on a conservation of energy equation.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 from the n-body time-dependent Schroedinger
equation. It is well know that Bohmian mechanics is not applicable to
stationary states, since the velocity field for stationary states is the zero
function. Recently, an alternative to Bohmian mechanics has been formulated,
based on a conservation of energy equation, where the velocity fields are not
the zero function, but this formalism is only applicable to stationary states
with real valued wavefunctions. In this paper, Bohmian mechanics is merged with
the alternative to Bohmian mechanics. This is accomplished by introducing an
interpretation of the Bohm quantum potential. The final formalism gives dynamic
particles for all states, including stationary states. The final main working
equation contains two kinetic energy terms and a term that contains a factor
that can be interpreted as a pressure. The derivation is a simple n-body
generalization of the recent generalization, or refinement, of the Madelung
equations.
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