Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials
arXiv:1205.5860 · doi:10.1016/j.physleta.2012.08.016
Abstract
Using the method of point canonical transformation, we derive some exactly solvable rationally extended quantum Hamiltonians which are non-Hermitian in nature and whose bound state wave functions are associated with Laguerre- or Jacobi-type exceptional orthogonal polynomials. These Hamiltonians are shown, with the help of imaginary shift of co-ordinate: , to be both quasi and pseudo-Hermitian. It turns out that the corresponding energy spectra is entirely real.
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