Perturbation theory of PT-symmetric Hamiltonians

Abstract

In the framework of perturbation theory the reality of the perturbed eigenvalues of a class of $\PT$symmetric Hamiltonians is proved using stability techniques. We apply this method to $\PT$symmetric unperturbed Hamiltonians perturbed by $\PT$symmetric additional interactions.

References in corpus (1)

• Coupling of eigenvalues of complex matrices at diabolic and exceptional points

Cited by in corpus (7)

• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
• Bounds on variation of spectral subspaces under J-self-adjoint perturbations
• Metrics and isospectral partners for the most generic cubic PT-symmetric non-Hermitian Hamiltonian
• Generalized Swanson models and their solutions
• Non-Hermitian spectral effects in a PT-symmetric waveguide
• Pseudo supersymmetric partners for the generalized Swanson model