Critical parameters for non-hermitian Hamiltonians

作者:

Highlights:

• PT-symmetric Hamiltonians exhibit real eigenvalues.

• Real eigenvalues appear when PT-symmetry is unbroken.

• The range of real eigenvalues is determined by exceptional points or critical parameters.

• The diagonalization method is suitable for the calculation of critical parameters.

• Degenerate eigenvalues require a more general definition of unbroken symmetry.

摘要

•PT-symmetric Hamiltonians exhibit real eigenvalues.•Real eigenvalues appear when PT-symmetry is unbroken.•The range of real eigenvalues is determined by exceptional points or critical parameters.•The diagonalization method is suitable for the calculation of critical parameters.•Degenerate eigenvalues require a more general definition of unbroken symmetry.

论文关键词:PT symmetry,Non-hermitian Hamiltonians,Critical parameters,Exceptional points,Diagonalization method

论文评审过程:Available online 17 September 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.08.083