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Generation of exactly solvable non-Hermitian potentials with real energies

Anjana Sinha·Pinaki Roy
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Abstract

A series of exactly solvable non-trivial complex potentials (possessing real spectra) are generated by applying the Darboux transformation to the excited eigenstates of a non-Hermitian potential V(x). This method yields an infinite number of non-trivial partner potentials, defined over the whole real line, whose spectra are nearly exactly identical to the original potential.

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Anjana Sinha, Pinaki Roy. 2003-12-10. Generation of exactly solvable non-Hermitian potentials with real energies. https://doi.org/10.1023/b%3Acjop.0000014377.24971.31

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