Quantum Frictional Model to Derive Statistical Physics For Fluid and Super Fluid Laws

Abstract

IVAbstractSchrodinger equation for particle in a finite media with uniform potential inside abox has been solved the solution which is based on the fact that the particle exists gives complex and cosine wave function with energy relations different from that of the ordinary sine solution.Maxwell distribution law has been also found using the expression for the wave function in a frictional medium, quantum energy average and integration by parts, another approach has been tackled using the general expression for quantum average and the ordinary differentiation.Using Maxwell distribution Quantum law, and the Newtonian energy relation continuity and momentum fluid equation was done by differentiation the number density with respect to time and to coordinate. The momentum equation derivation requires the coefficient of the energy in the exponential power is equal to the thermal kinetic energy. This conforms with the statically value proposed by Maxwell distribution but with a positive sign. This number density function can successfully describes lasing. This is since it predict population inversion and intensity of amplified light. These fluid derived equations can be suitable for superfluid’s, since they are free from frictional term and conforms with statistical physicsand quantum laws.