From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"

@article{Bergeron2001FromCT,
  title={From Classical to Quantum Mechanics: "How to translate physical ideas into mathematical language"},
  author={H. Bergeron},
  journal={Journal of Mathematical Physics},
  year={2001},
  volume={42},
  pages={3983-4019}
}
  • H. Bergeron
  • Published 2001
  • Mathematics, Physics
  • Journal of Mathematical Physics
  • Following previous works by E. Prugovecki [Physica A 91A, 202 (1978) and Stochastic Quantum Mechanics and Quantum Space–time (Reidel, Dordrecht, 1986)] on common features of classical and quantum mechanics, we develop a unified mathematical framework for classical and quantum mechanics (based on L2-spaces over classical phase space), in order to investigate to what extent quantum mechanics can be obtained as a simple modification of classical mechanics (on both logical and analytical levels… CONTINUE READING
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