Bookmark 4&5. Different pairings with −= 18, during an integration time of 90 that corresponds to around 30 turns of the CC’s.
ψ
1
ψ
1
◦
0
This bound state of two electrons is not the classical equivalent of a Cooper pair. Their separation is of the order of the Compton’s wavelength, much smaller than the correlation distance of the Cooper pair and it is a spin 1 state. It is thus a bosonic state from the quantum mechanical point of view. Classical physics of spinning particles does not forbid the formation of a stable electron-electron bound state.
The notebook [10] describes at a slow motion the pairing of two Dirac particles with parallel spins in the Coulomb interaction.
The notebook [10] describes at a slow motion the pairing of two Dirac particles with parallel spins in the Coulomb interaction.
11. Chaotic Behaviour
11. Chaotic Behaviour
The extreme sensitivity of Spinning Particle Model to the initial conditions of the variables of the two particles, even to some uncontrollable parameters as the phase of the particles, produce widely diverging results, highlighting the model’s sensitivity and realism. This system’s sensitivity to initial conditions renders its outputs effectively probabilistic, despite the underlying deterministic framework.
In the following figures we show two electrons scattering with the initial CM spins and initial CM positions and velocities fixed, but changing only in steps of 5 degrees the initial phase psi of the blue electron.
In the following figures we show two electrons scattering with the initial CM spins and initial CM positions and velocities fixed, but changing only in steps of 5 degrees the initial phase psi of the blue electron.