PT symmetry and Weyl asymptotics

Johannes Sjoestrand

For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is non-real, there are many non-real eigenvalues.

http://arxiv.org/abs/1105.4746
Spectral Theory (math.SP)

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