Anharmonic quantum mechanical systems do not feature phase space trajectories

@article{Oliva2018AnharmonicQM,
  title={Anharmonic quantum mechanical systems do not feature phase space trajectories},
  author={Maxime Oliva and Dimitris Kakofengitis and Ole Steuernagel},
  journal={Physica A: Statistical Mechanics and its Applications},
  year={2018}
}

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References

SHOWING 1-10 OF 119 REFERENCES
Wigner flow reveals topological order in quantum phase space dynamics.
TLDR
The flow that is the quantum analog of classical particle flow along phase portrait lines is identified, which reveals hidden features of quantum dynamics and extra complexity and reveals fundamental topological order in quantum dynamics that has so far gone unnoticed.
Tunneling Dynamics Using Classical-like Trajectories with an Effective Quantum Force
We develop an effective quantum force to propagate trajectories in Wigner phase space. In this way, the quantum entanglement between trajectories is represented by the effective quantum force, which
Simulation of quantum processes using entangled trajectory molecular dynamics
In this paper, we describe a new method for simulating quantum processes using classical-like molecular dynamics. The approach is based on solving the quantum Liouville equation in the Wigner
Quantum tunneling using entangled classical trajectories.
TLDR
A new method for simulating quantum processes in the context of classical molecular dynamics simulations based on solving numerically the quantum Liouville equation in the Wigner representation using ensembles of classical trajectories yields excellent agreement with exact quantum calculations.
Phase Space Descriptions of Quantum Phenomena
In this paper we show the deep connection between the WignerMoyal approach and the Bohm approach to quantum mechanics. We point out that the key equations used in the Bohm approach were already
Time-dependent quantum-mechanical methods for molecular dynamics
The basic framework of time-dependent quantum-mechanical methods for molecular dynamics calculations is described. The central problem addressed by computational methods is a discrete representation
Quantum collision theory with phase-space distributions
Quantum-mechanical phase-space distributions, introduced by Wigner in 1932, provide an intuitive alternative to the usual wave-function approach to problems in scattering and reaction theory. The aim
Quantum mechanics as a statistical theory
An attempt is made to interpret quantum mechanics as a statistical theory, or more exactly as a form of non-deterministic statistical dynamics. The paper falls into three parts. In the first, the
Evolution of classical and quantum phase-space distributions: A new trajectory approach for phase space hydrodynamics
Recently, Donoso and Martens described a method for evolving both classical and quantum phase-space distribution functions, W(q,p,t), that involves the propagation of an ensemble of correlated
...
...