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• W2133054979 abstract "We propose a new solvable one-dimensional complex PT-symmetric potential as V(x)=igsgn(x)|1−exp⁡(2|x|/a)| and study the spectrum of H=−d2/dx2+V(x). For smaller values of a,g<1, there is a finite number of real discrete eigenvalues. As a and g increase, there exist exceptional points (EPs), gn (for fixed values of a), causing a scarcity of real discrete eigenvalues, but there exists at least one. We also show these real discrete eigenvalues as poles of reflection coefficient. We find that the energy-eigenstates ψn(x) satisfy (1): PTψn(x)=1ψn(x) and (2): PTψEn(x)=ψEn⁎(x), for real and complex energy eigenvalues, respectively." @default.
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• W2133054979 date "2015-08-01" @default.
• W2133054979 modified "2023-10-18" @default.
• W2133054979 title "A new solvable complex PT-symmetric potential" @default.
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• W2133054979 doi "https://doi.org/10.1016/j.physleta.2015.04.032" @default.
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