4 papers
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…
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…
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…
On the divergence of time-dependent perturbation theory applied to laser-induced molecular transitions: Analytical calculations for the simple algorithm
Klaus Renziehausen
Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of s…