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