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Variational Ansatz for PT-Symmetric Quantum Mechanics

Carl Bender·Fred Cooper·Peter Meisinger·Van M. Savage
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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.

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Carl Bender, Fred Cooper, Peter Meisinger, Van M. Savage. 1999-07-02. Variational Ansatz for PT-Symmetric Quantum Mechanics. https://doi.org/10.1016/s0375-9601(99)00468-5

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