Variational Ansatz for PT-Symmetric Quantum Mechanics

Details Variational Ansatz for PT-Symmetric Quantum Mechanics Variational Ansatz for PT-Symmetric Quantum Mechanics

1999-07-02

arxiv.org/abs/quant-ph/9907008v1

Phys.Lett. A259 (1999) 224-231

Physics

Quantum Physics

9 pages -- one postscript figure

Scientific paper

10.1016/S0375-9601(99)00468-5

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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