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Abstract: Quantum particles and classical particles are described in a common settingof 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, motionand correlations of a quantum particle in terms of observables in a classicalstatistical ensemble. On the other side, we also construct explicitly thequantum formalism with wave function and Hamiltonian for classical particles.For a suitable time evolution of the classical probabilities and a suitablechoice of observables all features of a quantum particle in a potential can bederived from classical statistics, including interference and tunneling.Besides conceptual advances, the treatment of classical and quantum particlesin a common formalism could lead to interesting cross-fertilization betweenclassical statistics and quantum physics.

Autor: C.Wetterich

Fuente: https://arxiv.org/

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