Generation of exactly solvable non-Hermitian potentials with real energies

Details Generation of exactly solvable non-Hermitian potentials with real energies Generation of exactly solvable non-Hermitian potentials with real energies

2003-12-10

arxiv.org/abs/quant-ph/0312089v1

Physics

Quantum Physics

10 pages, 2 figures, Based on the talk presented at the 1st International Workshop "Psedo-Hermitian Hamiltonians in Quantum Ph

Scientific paper

10.1023/B:CJOP.0000014377.24971.

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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