  We consider for clarity the simple case of the one dimensional
non-relativistic Schr\"{o}dinger equation and regard it as an ensemble mean
representation of the stochastic motion of a single particle in a vacuum,
subject to an undefined stochastic quantum force. By analyzing the Bohm
potential it is found that the imaginary part of the quantum momentum is the
root mean square fluctuation of the particle around its mean velocity, where
the latter is the real part of the quantum momentum. The local mean of the
quantum force is found to be proportional to the third spatial derivative of
the probability density function, and its associated pressure to the second
spatial derivative. The latter is decomposed from the single particle diluted
gas pressure, and this pressure partition allows the interpretation of the
quantum Bohm potential as the energy required to put a particle in a bath of
fluctuating vacuum at constant entropy and volume.
  The stochastic force expectation value is zero and is uncorrelated with the
particle location, thus does not perform work on average. Nonetheless it is
anti-correlated with volume and this anti-correlation leads to a new type of an
Heisenberg like relation. We imply the dynamic Gaussian solution to the
Schr\"{o}dinger equation as a simple example for exploring the mean properties
of this quantum force. Still an interesting remained open task is the
identification of the stochastic law that leads to these obtained mean
properties.
