PT-symmetry rules applied to a class of real potentials

被引：1

作者：

Garidi, S. ^{[1
,2
]}

Lombard, R. J. ^{[3
]}

Mezhoud, R. ^{[1
,4
]}

机构：

[1] Univ MHamed Bougara Boumerdes, Fac Sci, Dept Phys, Route Gare Ferroviaire, Boumerdes 35000, Algeria

[2] Lab Phys Particules & Phys Stat LPPPS ENS KOUBA, Kouba, Algeria

[3] IJClab Orsay, F-91406 Orsay, France

[4] Univ MHamed Bougara Boumerdes, Lab Revetement Mat & Environm LRME, Bloc Rech,Campus Nord, Boumerdes 35000, Algeria

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 03期

关键词：

quantum mechanics; complex wave functions; asymptotically negative potentials; ENERGY GROUND-STATES; LOCALIZED STRUCTURES; INVERSE PROBLEM; BOUND-STATES; WAVE-GUIDES; MEDIA;

D O I：

10.1088/1402-4896/ad2658

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Extending the functional space to complex eigenfunctions R J Lombard et al (2022, Rom. J. Phys. 67, 104), we have shown that infinitely negative potentials at large distances admit finite energy states. The used techniques are similar to the ones applied in the case of PT symmetric complex potentials with real eigenvalues. We present the lowest part of the spectra for - divide x divide n potentials with 4 <= n <= 8. We also discuss the norm and orthogonality of the wave functions.

引用

页数：10

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