9907008v1

related topics
{equation, function, exp}
{energy, state, states}
{operator, operators, space}
{time, wave, function}
{wave, scattering, interference}
{phase, path, phys}
{error, code, errors}

Variational Ansatz for PT-Symmetric Quantum Mechanics

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

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.

oai_identifier:
oai:arXiv.org:quant-ph/9907008
categories:
quant-ph
comments:
9 pages -- one postscript figure
doi:
10.1016/S0375-9601(99)00468-5
arxiv_id:
quant-ph/9907008
journal_ref:
Phys.Lett. A259 (1999) 224-231
report_no:
LA-UR-99-3026
created:
1999-07-02

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