A problem with the conservation law observed in macroscopic quantum phenomena is a consequence of violation of the correspondence principle

Abstract

This article draws attention that the puzzle of the change of the angular momentum without any force is a consequence of the contradiction of macroscopic quantum phenomena with the correspondence principle, which reveals a fundamental difference between microscopic quantum phenomena, described by the Schrodinger wave mechanics, and macroscopic quantum phenomena, described by the theory of superconductivity and the theory of superfluidity. To explain why macroscopic quantum phenomena are observed despite the correspondence principle, Lev Landau postulated in 1941 that microscopic particles in superfluid helium and superconductor cannot move separately. The angular momentum can change without any force only due to quantization in both microscopic and macroscopic quantum phenomena. The Heisenberg uncertainty principle eliminates the contradiction with the conservation law in the first case, since according to the correspondence principle, the change in angular momentum cannot exceed the Planck constant. But this principle cannot eliminate the contradiction with the conservation law the macroscopic change of angular momentum due to quantization observed in superconductors contrary to the correspondence principle. Quantization can change not only the angular momentum, but also the kinetic energy of a superconducting condensate on a macroscopic amount. For this reason, the Meissner effect and other macroscopic quantum phenomena contradict the second law of thermodynamics. The reluctance of physicists to admit the violation of the second law of thermodynamics provoked a false understanding of the phenomenon of superconductivity and obvious contradictions in books on superconductivity.