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