Quantum particles from classical statistics

Abstract

Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs, however, between quantum and classical particles. We describe position, motion and correlations of a quantum particle in terms of observables in a classical statistical ensemble. On the other side, we also construct explicitly the quantum formalism with wave function and Hamiltonian for classical particles. For a suitable time evolution of the classical probabilities and a suitable choice of observables all features of a quantum particle in a potential can be derived from classical statistics, including interference and tunneling. Besides conceptual advances, the treatment of classical and quantum particles in a common formalism could lead to interesting cross-fertilization between classical statistics and quantum physics.

New material on quantum formalism and wave function for classical particles. Part of previous material is moved to a separate paper. 25 pages

References in corpus (4)

• Experimental quantum teleportation
• Quantum mechanics from classical statistics
• The Structure of Classical Extensions of Quantum Probability Theory
• Quantum particles from coarse grained classical probabilities in phase space

Cited by in corpus (11)

• Probabilistic cellular automata for interacting fermionic quantum field theories
• Quantum formalism for classical statistics
• Quantum computing with classical bits
• Fermions as generalized Ising models
• Classical probabilities for Majorana and Weyl spinors
• Probabilistic time
• Fermionic quantum field theories as probabilistic cellular automata
• Zwitters: particles between quantum and classical
• Quantum fermions from classical bits
• Nucleons as modified Ising models
• Quantum fermions and quantum field theory from classical statistics