No abstract

Quantum stochastici ty (the nature of wave functions and eigenvalues when the short-wave-limit Hamiltonian has stochastic trajectories) is studied for the two-dimensional Helmholtz equation with "stadium" boundary.The eigenvalue separations have a Wigner distribution (characteristic ot' a random Hamiltonian), in contrast to the clustering found for a separable equation. The eigenfunctions exhibit a random pattern for the nodal curves, with isotropic distribution of local wave-vectors.

No abstract