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

共 50 条

[1] Parametric symmetries in exactly solvable real and PT symmetric complex potentials
Yadav, Rajesh Kumar
Khare, Avinash
Bagchi, Bijan
Kumari, Nisha
Mandal, Bhabani Prasad
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (06)
[2] PT Symmetric Hamiltonian Model and Exactly Solvable Potentials
Yesiltas, Ozlem
IC-MSQUARE 2012: INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING IN PHYSICAL SCIENCES, 2013, 410
[3] New exactly solvable isospectral partners for PT symmetric potentials
Sinha, A
Roy, P
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (06): : 2509 - 2518
[4] An exactly solvable PT symmetric potential from the Natanzon class
Lévai, G
Sinha, A
Roy, P
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (27): : 7611 - 7623
[5] Unified approaches for construction of PT-symmetric quasi-exactly solvable potentials
Bera, P. K.
Datta, J.
INDIAN JOURNAL OF PHYSICS, 2007, 81 (03) : 377 - 388
[6] Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation
Barashenkov, I. V.
Zezyulin, D. A.
Konotop, V. V.
NON-HERMITIAN HAMILTONIANS IN QUANTUM PHYSICS, 2016, 184 : 143 - 155
[7] EXPANDING THE CLASS OF CONDITIONALLY EXACTLY SOLVABLE POTENTIALS
DUTRA, AD
GIRLICH, FU
PHYSICAL REVIEW A, 1994, 50 (05): : 4369 - 4372
[8] Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-Symmetric potentials in the presence of position-dependent mass
Jia, Chun-Sheng
Wang, Ping-Quan
Liu, Jian-Yi
He, Su
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (10) : 2513 - 2522
[9] Relativistic Confinement of Neutral Fermions with Partially Exactly Solvable and Exactly Solvable PT-Symmetric Potentials in the Presence of Position-Dependent Mass
Chun-Sheng Jia
Ping-Quan Wang
Jian-Yi Liu
Su He
International Journal of Theoretical Physics, 2008, 47 : 2513 - 2522
[10] Conditions for complex spectra in a class of PT symmetric potentials
Lévai, G
Znojil, M
MODERN PHYSICS LETTERS A, 2001, 16 (30) : 1973 - 1981

← 1 2 3 4 5 →