Study of Bose-Einstein Condensation Process and Superconductivity

TL;DR

This paper explores the Bose-Einstein condensation process underlying superconductivity, providing new quantum mechanical models, topological insights, and proposing the possibility of room temperature superconductivity with layered oxide structures.

Contribution

It introduces a detailed quantum mechanical framework for superconductivity, including topological energy levels and a model for room temperature superconductivity using layered oxides.

Findings

Superconductivity is explained as a Bose-Einstein condensation process.

A quantum state energy level equation with topological significance is derived.

Room temperature superconductivity is theoretically possible with layered oxide structures.

Abstract

The transition from normal state to superconductive state is a condensation (Bose-Einstein condensation) process. As an example of Bose-Einstein condensation, the condensation process of superconductivity is investigated in detail. The basic unit of superconductivity is condensation circuit, which should contain 4m+2 (m=1,2,...) electrons (holes). The perfect explanation for no resistance and complete diamagnetism are given by using condensation circuit. The quantum mechanics equation of superconductive state is constructed, and energy level equation of superconductive quantum state is given. The later equation has simple form (I is the unit matrix, A is the adjacent matrix), with deep topological meanings. The phase transition from normal state to superconductive state is irreversible. The irreversible process is analyzed and discussed in detail. The temperature region of superconductive state is calculated. The simplest structure of superconductor circuit is a condensation circuit which is composed of a series of 3-4-element-circuits (called lantern series structure). It is theoretically proved that the room temperature superconductivity can be realized by using polylayer oxide structure. The experimental frame of room temperature superconductivity is suggested.