A class of exactly solvable real and complex PT symmetric reflectionless potentials

被引：0

作者：

Banerjee, Suman ^{[1
]}

Yadav, Rajesh Kumar ^{[1
]}

Khare, Avinash ^{[2
]}

Mandal, Bhabani Prasad ^{[3
]}

机构：

[1] Sido Kanhu Murmu Univ, Dept Phys, Dumka 814110, India

[2] Savitribai Phule Pune Univ, Dept Phys, Pune 411007, India

[3] Banaras Hindu Univ, Dept Phys, Varanasi 221005, India

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 03期

关键词：

SHAPE-INVARIANT POTENTIALS; NON-HERMITIAN HAMILTONIANS; GROUP THEORETIC APPROACH; SCATTERING-AMPLITUDES; QUANTUM-MECHANICS; EIGENVALUES; EXTENSIONS; FAMILIES;

D O I：

10.1063/5.0174810

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with N bound states. By carefully considering the Xm rationally extended reflectionless potentials, we argue that the total number of exactly solvable complex PT-invariant reflectionless potentials are 2[(2N - 1)m + N].

引用

页数：17

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