Energy levels for $\mathcal{P}\mathcal{T}$-symmetric deformation of the Mathieu equation

E. Cavalcanti, N. M. Alvarenga, F. Reis +3

We propose a non-Hermitian deformation of the Mathieu equation that preserves $\mathcal{P}\mathcal{T}$ symmetry and study its spectrum and the transition from $\mathcal{P}\mathcal{T}$-unbroken to $\ma…