Variational Ansatz for PT-Symmetric Quantum Mechanics
arXiv:quant-ph/9907008 · doi:10.1016/S0375-9601(99)00468-5
Abstract
A variational calculation of the energy levels of a class of PT-invariant quantum mechanical models described by the non-Hermitian Hamiltonian H= p^2 - (ix)^N with N positive and x complex is presented. Excellent agreement is obtained for the ground state and low lying excited state energy levels and wave functions. We use an energy functional with a three parameter class of PT-symmetric trial wave functions in obtaining our results.
9 pages -- one postscript figure