QUANTUM MECHANISM OF CONDENSATION AND HIGH TC SUPERCONDUCTIVITY
Résumé
The main objective of this paper is to introduce a new quantum mechanism of condensates and for superconductiv-ity based on new interpretation of quantum mechanical wave functions , and on recent developments in quantum physics and statistical physics. First, we postulate that the wave function $\psi=|\psi| e^{i \varphi}$is the common wave function for all particles in the same class determined by the external potential $V(x)$, $|\psi(x)|^2$ represents the distribution density of the particles, and $\frac{\hbar}{m} \nabla \varphi$ is the velocity field of the particles. Although the new interpretation does not alter the basic theories of quantum mechanics, it is an entirely different interpretation from the classical Bohr interpretation, removes all absurdities, and offers new insights for quantum physics and for condensed matter physics. Second, we show that the key for condensation of bosonic particles is that their interaction is sufficiently weak to ensure that a large collection of boson particles are in a state governed by the same condensation wave function field ψ under the same bounding potential V. For superconductivity, the formation of superconductivity comes down to conditions for the formation of electron-pairs, and for the electron-pairs to share a common wave function. Thanks to the recently developed PID interaction potential of electrons and the average-energy level formula of temperature, these conditions for superconductivity are explicitly derived. Furthermore, we obtain both microscopic and macroscopic formulas for the critical temperature. The field and topological phase transition equations for condensates are also derived .
Mots clés
new interpretation of quantum mechanical wave function
Copenhagen interpretation
superconductivity
condensates
Bose-Einstein condensation
Cooper pair
BCS theory
high Tc superconductivity
electron-phonon interaction
topological phase transition
PID interaction potential
average energy level formula of temperature
electron-pairs
binding energy
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