Deterministic Quantum Field Trajectories and Macroscopic Effects
- URL: http://arxiv.org/abs/2311.09604v1
- Date: Thu, 16 Nov 2023 06:23:09 GMT
- Title: Deterministic Quantum Field Trajectories and Macroscopic Effects
- Authors: M. Akbari-Moghanjoughi
- Abstract summary: The root to macroscopic quantum effects is revealed based on the quasiparticle model of collective excitations in an arbitrary degenerate electron gas.
It is remarked that any quantum many body system composed of large number of interacting particles acts as a dual arm device controlling the microscopic single particle effects with one hand and the macroscopic phenomena with the other.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work the root to macroscopic quantum effects is revealed based on the
quasiparticle model of collective excitations in an arbitrary degenerate
electron gas. The $N$-electron quantum system is considered as $N$ streams
coupled, through the Poisson's relation, which are localized in momentum space
rather than electron localization in real space, assumed in ordinary many body
theories. Using a new wavefunction representation, the $N+1$-coupled system is
reduced to simple pseudoforce equations via quasiparticle (collective quantum)
model leading to a generalized matter wave dispersion relation. It is shown
that the resulting dual lengthscale de Broglie's matter wave theory predicts
macroscopic quantum effects and deterministic field trajectories for charges
moving in the electron gas due to the coupling of the electrostatic field to
the local electron number density. It is remarked that any quantum many body
system composed of large number of interacting particles acts as a dual arm
device controlling the microscopic single particle effects with one hand and
the macroscopic phenomena with the other. Current analysis can be further
extended to include the magnetic potential and spin exchange effects. Present
model can also be used to confirm macroscopic entanglement of charged particles
embedded in a quantum electron fluid.
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