Abstract
Under the action of field intensities around the Schwinger critical field, a dense electron gas behaves as unidimensional, exerting strong pressure along the applied field. We suggest a model for maintaining the magnetic field self-consistently, by assuming spin parallel pairing leading to a partial bosonization of the electron gas, which is described by a charged vector boson field, able to experience condensation, leading to a ferromagnetic behavior. Our aim is to suggest a possible quantum relativistic self-magnetized jet model. High frequency photons will be deviated also along paths parallel to the external field, leading to a model for a jet. Any addition of matter and/or energy to the electron system, would contribute to increase the kinetic energy along the magnetic field axis, an the jet may extend for long distances.
Highlights
It is sometimes underestimated by some astrophysicists, quantum effects leading to macroscopic consequences may be very important in astroparticle physics
In the white dwarf problem, the system equilibrium and stability depends on the interplay of the electron gas pressure with the pressure generated by the external gravitational field, due mainly to baryon mass, leading to a quantum limit to the stabled star mass as M < NmaxMB, where Nmax =3 ∼ 1057
The electron-positron dynamics in a magnetic field is characterized by an anisotropic spectrum
Summary
It is sometimes underestimated by some astrophysicists, quantum effects leading to macroscopic consequences may be very important in astroparticle physics. This has as implication that for magnetic fields strong enough the anisotropic electron dynamics lead to a significant anisotropic electron thermodynamics (pressures are anisotropic) and an anisotropic photon propagation The spread of the electron and positron wave functions decrease exponentially with B in the direction orthogonal to the field since they depend on the transverse coordinates as e−ξ2 where ξ2 = x2⊥/Sφ. Such behavior is the same for charged vector bosons, whose ground state wavefunction is expressed in terms of Hermite fuctions depending from ξ2.
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