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Small-ϵ behavior of the non-Hermitian {\mathcal{P}}{\mathcal{T}} -symmetric Hamiltonian<i>H</i>=<i>p</i><sup>2</sup>+<i>x</i><sup>2</sup>(i<i>x</i>)<sup>ϵ</sup>
The energy eigenvalues of the class of non-Hermitian -symmetric Hamiltonians H = p2 + x2(ix) ( ⩾ 0) are real, positive and discrete. The behavior of these eigenvalues has been studied perturbatively for small . However, until now no other features of H have been examined perturbatively. In this paper …