Please use this identifier to cite or link to this item:
http://repository.aaup.edu/jspui/handle/123456789/1038| Title: | Studying The Linear Complex Pt Symmetric Potential |
| Authors: | Lombard, R.J.$Other$Other Mezhoud, R.$Other$Other |
| Keywords: | Airy function Complex symmetric potential. |
| Issue Date: | 2019 |
| Publisher: | Journal of the Arab American University |
| Citation: | Volume 5, Issue 1 |
| Abstract: | 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. |
| URI: | http://repository.aaup.edu/jspui/handle/123456789/1038 |
| Appears in Collections: | AAUP-Journal |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Studying The Linear Complex Pt Symmetric Potential.pdf | 1.33 MB | Adobe PDF |  View/Open |
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