On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics

Details On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics

2004-09-20

arxiv.org/abs/quant-ph/0409128v1

Physics

Quantum Physics

Scientific paper

We constructed the representation of contextual probabilistic dynamics in the complex Hilbert space. Thus dynamics of the wave function can be considered as Hilbert space projections of realistic dynamics in a ``prespace''. The basic condition for representing of the prespace-dynamics is the law of statistical conservation of energy -- conservation of probabilities. Construction of the dynamical representation is an important step in the development of contextual statistical viewpoint to quantum processes. But the contextual statistical model is essentially more general than the quantum one. Therefore in general the Hilbert space projection of the ``prespace'' dynamics can be nonlinear and even irreversible (but it is always unitary). There were found conditions of linearity and reversibility of the Hilbert space dynamical projection. We also found conditions for the conventional Schroedinger dynamics (including time-dependent Hamiltonians). We remark that in general even the Schroedinger dynamics is based just on the statistical conservation of energy; for individual systems the law of conservation of energy can be violated (at least in our theoretical model).

Affiliated with

Also associated with

No associations

Rating

On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-42483