dorsal/arxiv
View SchemaStatistical Origin of Quantum Mechanics
| Authors | G. Kaniadakis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112049 |
| URL | https://arxiv.org/abs/quant-ph/0112049 |
| DOI | 10.1016/S0378-4371(01)00626-4 |
| Journal | Physica A 307, 172 (2002) |
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 Schr\"odinger 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.
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"abstract": "The one particle quantum mechanics is considered in the frame of a N-body\nclassical kinetics in the phase space. Within this framework, the scenario of a\nsubquantum structure for the quantum particle, emerges naturally, providing an\nontological support to the orthodox quantum mechanics. This approach to quantum\nmechanics, constitutes a deductive and direct method which, in a\nself-consistent scheme of a classical kinetics, allows us: i) to obtain the\nprobabilistic nature of the quantum description and to interpret the wave\nfunction $\\psi$ according to the Copenhagen school; ii) to derive the quantum\npotential and then the Schr\\\"odinger equation; iii) to calculate the values of\nthe physical observables as mean values of the associated quantum operators;\niv) to obtain the Heisenberg uncertainty principle.",
"arxiv_id": "quant-ph/0112049",
"authors": [
"G. Kaniadakis"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0378-4371(01)00626-4",
"journal_ref": "Physica A 307, 172 (2002)",
"title": "Statistical Origin of Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0112049"
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