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Variational ansatz for pt-symmetric quantum mechanics

Jul, 1999
9 pages
Published in:
  • Phys.Lett.A 259 (1999) 224-231
e-Print:
DOI:
Report number:
  • LA-UR-99-3026,
  • LA-UR-99-3026
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1999200520112017202202468
Abstract: (arXiv)
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.
Note:
  • 9 pages -- one postscript figure