An Approach to the Intermediate State of the Distributed Internal Fields on Muon Site

We show a new approach to provide anaysis functions of the muon-spin depolarization in order to describe the intermediate state between Gaussian and Lorentzian behavior. The Kubo Golden Rule (KGR) formula was used to mix the Gaussian and Lorentzian probability density functions. The result confirmed that the KGR formula can analytically explain the intermediate states. The current study suggests a new approach to investigate the so-called pseudogap state of high-Tc superconducting oxides.

The Speculation on the Quantum Mechanics Proceeding From a Principle of the Conservation of Entropy at an Atomic Scale

The entropy approach to a description of quantum processes, represented like the Markov chain, is elaborated. It is supposed that at an atomic scale the law of the conservation of entropy holds. From this principle issues the simple explanation of the different behavior of bosons and fermions in experiments with scattering particles, proved by Pauli. Introducing in consideration Markov’ chain, applied to a motion of particles, made possible to write an equation, determining the change of their states. This pure logical result, completed by physical laws, brought to a new equation, generalizing Schrödinger one. It includes electric and magnetic fields as well as the spin of particles. Analysis of its solution for a case of only electric field, led to the formula of tunnel effect. Consideration of the motion of a particle in magnetic field gave the fundamental expression of Lorentz force without any mention of electrodynamics. Addition of an angular momentum in the reasoning by including Hamiltonian, allowed deducing the result, which coincides with the spherically symmetric Schrödinger equation for hydrogen atom. In general case there is the system of equations. If the atom is put in a weak magnetic field, without a possibility of flipping, the classical formulas of Bohr radius orbits and Rydberg energy obtained. The property of intrinsic quantization of electron spin ħ/2 is explained easily as a solution of the proposed system. These equations do not repeat the known arguments only, but can predict the new phenomena. They describe the effect of spin depolarization of electrons in a strong magnetic field, earlier considered been related to vacuum polarization. The obtained solution gives its magnetic induction equal about 1012 Gs, that corresponds well with experimental data.