TITLE:
Transition Temperatures
AUTHORS:
Shpend Mushkolaj
KEYWORDS:
Transition Temperatures, Phase Transitions, Superconductivity, Magnetic Order, Hidden Order
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.12,
July
25,
2014
ABSTRACT: Despite intense experimental and
theoretical efforts, it is still unclear why at temperatures of phase
transitions, materials change completely their physical properties.
Experimentally we are able to measure any microscopic, mesoscopic, and
macroscopic variations of physical observables, but we still do not have a
universal theoretical model that can predict all phase transitions,
qualitatively and quantitatively. For instance, experimentally we can measure
all physical properties of superconductors, but we do not have a unique
theoretical model that is able to describe both types of superconductivity,
namely the conventional and unconventional superconductivity. Here I present a
simple quantum-mechanical and universal theoretical model that is able to
calculate and predict critical temperatures for phase transitions: between
magnetic order and disorder, superconductivity and normal conductivity, superconductivity
and insulator, metal and insulator, melting and crystallization and many other
phase transitions. All these phase transitions are described with four wave
functions that are eigenfunctions of the Hamiltonian and the momentum
operators.