Physics – Mathematical Physics
Scientific paper
2007-03-14
Computational Methods and Function Theory, 8 (2008). No. 2, 513--529.
Physics
Mathematical Physics
22 pages, 9 figures
Scientific paper
For a class of one-dimensional Schrodinger operators with polynomial potentials that includes Hermitian and PT-symmetric operators, we show that the zeros of scaled eigenfunctions have a limit disctibution in the complex plane as the eigenvalues tend to infinity. This limit distribution depends only on the degree of potential and on the boundary conditions.
Eremenko Alexandre
Gabrielov Andrei
Shapiro Boris
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