Statistical Origin of Quantum Mechanics

Abstract

The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics. This approach to quantum mechanics, constitutes a deductive and direct method which, in a self-consistent scheme of a classical kinetics, allows us: i) to obtain the probabilistic nature of the quantum description and to interpret the wave function $\psi$ according to the Copenhagen school; ii) to derive the quantum potential and then the Schrödinger equation; iii) to calculate the values of the physical observables as mean values of the associated quantum operators; iv) to obtain the Heisenberg uncertainty principle.

Accepted for publication in Physica A

Cited by in corpus (21)

• Brownian Entanglement
• Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction
• Weakly nonlocal fluid mechanics - the Schrodinger equation
• Canonical quantization of nonlinear many body systems
• On the quantum potential
• Non quantum uncertainty relations of stochastic dynamics
• Inverse kinetic theory for quantum hydrodynamic equations
• Hot Fluids and Nonlinear Quantum Mechanics
• Quantum spirals
• Quantization from an exponential distribution of infinitesimal action
• Frictionless Random Dynamics: Hydrodynamical Formalism
• Unique additive information measures - Boltzmann-Gibbs-Shannon, Fisher and beyond
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable
• How the Weak Variance of Momentum Can Turn Out to be Negative
• Experimental realization of an analog of entanglement between two Brownian particles
• BBGKY Hierarchy Underlying Many Particle Quantum Mechanics
• Spin Waves as Metric in a Kinetic Space-Time
• Quantum Potential and Random Phase - Space Dynamics
• The Vertical Logic of Hamiltonian Methods (Part 1)
• Understanding quantization: a hidden variable model
• Irrotational Momentum Fluctuations Conditioning the Quantum Nature of Physical Processes