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Imprints of the Quantum World in Classical Mechanics

Quantum Physics 2015-05-18 v2 Mathematical Physics math.MP

Abstract

The imprints left by quantum mechanics in classical (Hamiltonian) mechanics are much more numerous than is usually believed. We show Using no physical hypotheses) that the Schroedinger equation for a nonrelativistic system of spinless particles is a classical equation which is equivalent to Hamilton's equations.

Keywords

Cite

@article{arxiv.1001.4632,
  title  = {Imprints of the Quantum World in Classical Mechanics},
  author = {Maurice A. de Gosson and Basil Hiley},
  journal= {arXiv preprint arXiv:1001.4632},
  year   = {2015}
}

Comments

Paper submitted to Foundations of Physics