Hydrodynamical interpretation of the quantum mechanics

A particle is considered as a microscopic entity which obeys the laws of quantum mechanics which are probabilistic. The particle therefore has a mean behaviour which can be described by introducing a macroscopic entity or fluid. This fluid, here called stochastic fluid, is assumed to obey the law of mechanics of continuous media, like a standard fluid. General (non relativistic) equations of the stochastic fluid equivalent to a point particle are then established and we observe that the Schrodinger equation is only one very particular case of these equations: in this case, the stochastic fluid is a particular fluid or quantum fluid. The quantum fluid is first introduced in a nonrelativistic context for a spinless particle. It is thus possible to observe and interpret the Aharonov-Bohm effect. By generalizing the problem to the nonrelativistic case of a particle with spin 1/2 and then to the relativistic case of a spinless particle, two sets of equations are obtained, from which, respectively, the Pauli and Klein-Gordon equations can be found