# 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} }

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…

## 859 Citations

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