On the Quantum-Classical Character of the Quantum Wavefunction of Material Particles

Details On the Quantum-Classical Character of the Quantum Wavefunction of Material Particles On the Quantum-Classical Character of the Quantum Wavefunction of Material Particles

2006-04-12

arxiv.org/abs/quant-ph/0604087v1

Physics

Quantum Physics

21 pages, no figures

Scientific paper

We show that the quantum wavefunction, interpreted as the probability density of finding a single non-localized quantum particle, which evolves according to classical laws of motion, is an intermediate description of a material quantum particle between the quantum and classical realms. Accordingly, classical and quantum mechanics should not be treated separately, a unified description in terms of the Wigner distribution function being possible. Although defined on classical phase space coordinates, the Wigner distribution function accommodates the nonlocalization property of quantum systems, and leads to both the Schrodinger equation for the quantum wavefunction and to the definition of position and momentum operators.

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