An analytic family of {\cal P}{\cal T} -symmetric Hamiltonians with real eigenvalues
Emanuela Caliceti, F. Cannata, S. Graffi
We study nonlinear perturbative expansions for -symmetric local Schrödinger operators. The Schrödinger operator is a sum of the harmonic oscillator Hamiltonian and a local -symmetric potential depending, in general, nonlinearly on the perturbation parameter. A specific class of models having real spectrum for any value of the parameter is proposed.
Journal of Physics A Mathematical and Theoretical•Jun 3, 2008•6 citations