3 papers
quant-ph2019
How to generalize the Ehrenfest theorem and the uncertainty principle
Klaus Renziehausen, Ingo Barth
The Ehrenfest theorem and the Robertson uncertainty relation are well-known basic equations in quantum mechanics. However, there exist problematic cases, where the Ehrenfest theore…
quant-ph2018
The connection between Bohmian mechanics and many-particle quantum hydrodynamics
Klaus Renziehausen, Ingo Barth
Bohm developed the Bohmian mechanics (BM), in which the Schrödinger equation is transformed into two differential equations: A continuity equation and an equation of motion similar…
quant-ph2017
Many-particle quantum hydrodynamics: exact equations and pressure tensors
Klaus Renziehausen, Ingo Barth
In the first part of this paper, the many-particle quantum hydrodynamics (MPQHD) equations for a system containing many particles of different sorts are derived exactly from the ma…