Small-$\epsilon$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix{)}^{\epsilon }$

Carl M. Bender, Karim Besseghir, Hugh F. Jones +1

The energy eigenvalues of the class of non-Hermitian PT-symmetric Hamiltonians $H=p^2+x^2(ix{)}^{\epsilon }$ ($\epsilon \ge 0$) are real, positive, and discrete. The behavior of these eigenvalues has…