PT-symmetrically regularized Eckart-Poschl-Teller and Hulthen potentials
Jun, 2000Citations per year
Abstract: (IOP)
(= paritytimes time-reversal) symmetry of complex Hamiltonians with real spectra is usually interpreted as a weaker mathematical substitute for Hermiticity. Perhaps an equally important role is played by the related strengthened analyticity assumptions. In a constructive illustration we complexify a few potentials solvable only ins-wave. Then we continue their domain from the semi-axis to the whole axis and obtain new exactly solvable models. Their energies turn out to be real as expected. The new one-dimensional spectra themselves differ quite significantly from theirs-wave predecessors.Note:
- Original 10-page letter ``PT-symmetrized exact solution of the singular Eckart oscillator" is extended to a full paper
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