6533b826fe1ef96bd12844d4

RESEARCH PRODUCT

PT Symmetry and Weyl Asymptotics

Johannes Sjöstrand

subject

Class (set theory)010102 general mathematics0103 physical sciencesMathematical analysis010307 mathematical physicsMathematics::Spectral Theory0101 mathematicsSymmetry (geometry)01 natural sciencesEigenvalues and eigenvectorsMathematical physicsMathematics

description

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 nonreal, there are many nonreal eigenvalues.

https://doi.org/10.1007/978-88-470-1947-8_19