dorsal/arxiv
View SchemaUnifying Quantum and Classical Dynamics
| Authors | Abdul Rahaman Shaikh, Tabish Qureshi |
|---|---|
| Categories | |
| ArXiv ID | 2601.10423vv2 |
| URL | https://arxiv.org/abs/2601.10423 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Classical and quantum physics represent two distinct theories; however, quantum physics is regarded as the more fundamental of the two. It is posited that classical mechanics should arise from quantum mechanics under certain limiting conditions. Nevertheless, this remains a challenging objective. In this work, we explore the potential for unifying the dynamics of classical and quantum physics. This discussion does not suggest that classical behavior emerges from quantum mechanics; rather, it demonstrates the exact equivalence between the dynamics of quantum observables and their classical counterparts. It is shown that the Heisenberg equations of motion can be cast in a form that is identical to Newton's equations of motion, with $\hbar$ being absent from the formulation. This implies that both quantum and classical dynamics are governed by the same equations, with the Heisenberg operators substituting the classical observables.
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"abstract": "Classical and quantum physics represent two distinct theories; however, quantum physics is regarded as the more fundamental of the two. It is posited that classical mechanics should arise from quantum mechanics under certain limiting conditions. Nevertheless, this remains a challenging objective. In this work, we explore the potential for unifying the dynamics of classical and quantum physics. This discussion does not suggest that classical behavior emerges from quantum mechanics; rather, it demonstrates the exact equivalence between the dynamics of quantum observables and their classical counterparts. It is shown that the Heisenberg equations of motion can be cast in a form that is identical to Newton\u0027s equations of motion, with $\\hbar$ being absent from the formulation. This implies that both quantum and classical dynamics are governed by the same equations, with the Heisenberg operators substituting the classical observables.",
"arxiv_id": "2601.10423",
"authors": [
"Abdul Rahaman Shaikh",
"Tabish Qureshi"
],
"categories": [
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Unifying Quantum and Classical Dynamics",
"url": "https://arxiv.org/abs/2601.10423",
"version": "v2"
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