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How the Theory of Superconductivity Was Able to Describe the Macroscopic Quantum Phenomena. The Correspondence Principle and Landau's Postulate

А. В. Никулов

Published Jan 1, 2023• 0 citations
Publisher
DOI
10.2139/ssrn.4358638

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The Bohm’s quantum potential, introduced in 1952, and the quantum force in superconductor, introduced in 2001, allow to describe non‐local force‐free momentum transfer observed in the Ahronov‐Bohm effects. Comparison of the Ahronov‐Bohm effects in the two‐slit interference experiment and in superconductor ring reveals fundamental difference between the Schrodinger wave function and the wave function describing macroscopic quantum phenomena. The Ginzburg‐Landau wave function describing the superconductivity phenomenon can not collapse and an additional postulate, which was implied first by L.D. Landau, must be used for the description of macroscopic quantum phenomena. It is note that quantum principles and postulates should not be universal till the quantum formalism is only phenomenological theory but no description of an unique reality.
We introduce the new concept of "nodal phase correlation" (NPC) into many-particle quantum mechanics. NPC is a particular quantum correlation among particles, which is important for current-carrying states of isolated systems. Mathematically it is characterized by a definite relation in configuration space between the phase and the modulus of the many-particle wave function. We illustrate the significance of NPC by showing the crucial role it plays in magnetic flux quantization and in certain macroscopic interference effects in superconducting rings. To this end we partly rederive the theory of these phenomena. Our method is based on the BCS theory. We critically examine previous work, in particular the single-particle pairing theory, which is considered to be a standard approach to magnetic flux quantization. This theory does not give rise to NPC. We are able to show that the corresponding many-particle wave function is in fact unrealistic and not consistent with the BCS theory of superconductivity.