Regular and irregular semiclassical wavefunctions

@article{Berry1977RegularAI,
  title={Regular and irregular semiclassical wavefunctions},
  author={Michael V. Berry},
  journal={Journal of Physics A},
  year={1977},
  volume={10},
  pages={2083-2091}
}
  • M. Berry
  • Published 1 December 1977
  • Physics
  • Journal of Physics A
The form of the wavefunction psi for a semiclassical regular quantum state (associated with classical motion on an N-dimensional torus in the 2N-dimensional phase space) is very different from the form of psi for an irregular state (associated with stochastic classical motion on all or part of the (2N-1)-dimensional energy surface in phase space). For regular states the local average probability density Pi rises to large values on caustics at the boundaries of the classically allowed region in… 

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