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21. 2. 1984.
Eigenvalue dependence on small pseudointegrable perturbation of a two-dimensional box
The eigenvalues of a hard-walled parallelogram-shaped enclosure were investigated using quantum perturbation theory, the perturbation being a small angle distortion of a pair of parallel sides of the rectangle. A comparison of perturbation theory results and exact computations for low-lying states showed good agreement. The distribution of eigenvalues grossly disturbed from their value in the nearby regular system was studied and found to be systematic.