We investigate the spectrum of the linear complex PT symmetric potential V(x) = λ|x| + icx. Semi analytical solutions are given by using properties of the Airy functions. The numerical integration of the diﬀerential equation system is discussed. We show that the number of eigenstates with a real eigenvalue is limited, depending on the ratio c/λ and on the quantum number n, reflecting a spontaneous breaking of the PT symmetry. For the ground state ( n = 0), we conjecture the eigenvalue to be real whatever the value of c.
"Studying The Linear Complex Pt Symmetric Potential,"
Journal of the Arab American University مجلة الجامعة العربية الامريكية للبحوث: Vol. 5
, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/aaup/vol5/iss1/2