Physics – Quantum Physics
Scientific paper
2006-11-30
J. Phys. A: Math. Theor. 40, 863 (2007)
Physics
Quantum Physics
3 pages, 1 figure. To appear in J. Phys. A
Scientific paper
10.1088/1751-8113/40/4/N01
Jia and Dutra (J. Phys. A: Math. Gen. 39 (2006) 11877) have considered the one-dimensional non-Hermitian complexified potentials with real spectra in the context of position-dependent mass in Dirac equation. In their second example, a smooth step shape mass distribution is considered and a non-Hermitian non - PT- symmetric Lorentz vector potential is obtained. They have mapped this problem into an exactly solvable Rosen-Morse Schrodinger model and claimed that the energy spectrum is real. The energy spectrum they have reported is pure imaginary or at best forms an empty set. Their claim on the reality of the energy spectrum is fragile, therefore.
Mazharimousavi Habib S.
Mustafa Omar
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