The 'symplectic camel principle' and semiclassical mechanics

@article{Gosson2002TheC,
  title={The 'symplectic camel principle' and semiclassical mechanics},
  author={M. D. Gosson},
  journal={Journal of Physics A},
  year={2002},
  volume={35},
  pages={6825-6851}
}
  • M. D. Gosson
  • Published 2002
  • Mathematics
  • Journal of Physics A
  • We propose a theory of semiclassical mechanics in phase space based on the notion of quantized symplectic area. The definition of symplectic area makes use of a deep topological property of symplectic mappings, known as the 'principle of the symplectic camel' which places stringent conditions on the global geometry of Hamiltonian mechanics. Following this principle, symplectic mappings—and hence Hamiltonian flows—are much more rigid than Liouville's theorem suggests. The dynamical objects of… CONTINUE READING
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