At a motion of electrons e (see Fig.1) in a conductor, along coordinate x, electrons move in a field of varied electrical potential U of a lattice of atoms of metal P.
At a motion of electrons e (see Fig.1) in a conductor, along coordinate x, electrons move in a field of varied electrical potential U of a lattice of atoms of metal P.
Thus the impulse of an electron e is equal:
P(x)=P0-SQRT(q*U(x)/m) where P0 – initial impulse of an electron;q - electrical charge of an electron;m – mass of an electron;SQRT – square root. Change of a relative phase of a wave function: df~P(x)*dx= (P0-SQRT(q*U(x)/m))*dx
I.e. the electrons will have different increase of a phase wave function at a motion on different trajectories in a crystalline lattice of metal. If we shall reduce amplitude of oscillations of an impulse of an electron P(x), we can reduce straggling change of a phase of a wave function of electrons and thus, probably, the achievement of a coherence of a motion of electrons is possible. To manipulate an effective impulse of an electron P(x) it is possible changes of vector potential A(x). Thus:
P(x)=P0-SQRT(q*U(x)/m)– q *A(x)/c
where c – velocity of light.
The change of a relative phase of a wave function will be:
df~P(x)*dx= (P0-SQRT(q*U(x)/m)–q*A(x)/c)*dx
If between atoms of an electrical conductor we shall dispose ferromagnetic atoms, these ferromagnetic atoms can strengthen a ring magnetic field H1 of a moving electron. Vector potential A(x) of this ring magnetic field will reduce change of an effective impulse of an electron as it is shown in a Fig.2.
If around of atoms of an electrical conductor we shall dispose diamagnetic atoms, these diamagnetic atoms can attenuate a ring magnetic field of a moving electron. It is equivalent to occurrence of a magnetic field H2 directional opposite to magnetic field H1. Vector potential A(x) of this ring magnetic field will reduce change of an effective impulse of an electron as it is shown in a Fig.3. In result the change of a relative phase of a wave function of electrons will be possible so small that the occurrence of a coherent current of electrons will be possible at high temperatures.
Probably, it also is model of a high-temperature superconductor, in which, for example, it is possible to use ferromagnetic atoms Fe, Co, Ni, and diamagnetic atoms O, C, Bi.