Real discrete spectrum in the complex non-PT-symmetric Scarf II potential

被引：9

作者：

Ahmed, Zafar ^{[1
]}

Nathan, Joseph Amal ^{[2
]}

机构：

[1] Bhabha Atom Res Ctr, Div Nucl Phys, Bombay 400085, Maharashtra, India

[2] Bhabha Atom Res Ctr, Reactor Phys Design Div, Bombay 400085, Maharashtra, India

来源：

PHYSICS LETTERS A | 2015年 / 379卷 / 10-11期

关键词：

NON-HERMITIAN HAMILTONIANS; SHAPE-INVARIANT POTENTIALS; PSEUDO-HERMITICITY; SCATTERING; EQUATION;

D O I：

10.1016/j.physleta.2015.01.004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Hitherto, it is well known that complex PT-symmetric Scarf II has real discrete spectrum in the parametric domain of unbroken PT-symmetry. We reveal new interesting complex, non-PT-symmetric parametric domains of this versatile potential, V(x), where the spectrum is again discrete and real. Showing that the Hamiltonian, p(2)/2 mu + V(x), in the new cases is pseudo-Hermitian could be challenging, if possible. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：865 / 869

页数：5

共 37 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] Handedness of complex PT-symmetric potential barriers [J].

Ahmed, Z .

PHYSICS LETTERS A, 2004, 324 (2-3) :152-158

[3] Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians [J].

Ahmed, Z .

PHYSICS LETTERS A, 2002, 294 (5-6) :287-291

[4] Schrodinger transmission through one-dimensional complex potentials [J].

Ahmed, Z .

PHYSICAL REVIEW A, 2001, 64 (04) :4

[5] Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials [J].

Ahmed, Z .

PHYSICS LETTERS A, 2001, 290 (1-2) :19-22

[6] Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential (vol A282, pg 343, 2001) [J].

Ahmed, Z .

PHYSICS LETTERS A, 2001, 287 (3-4) :295-296

[7] Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential [J].

Ahmed, Z .

PHYSICS LETTERS A, 2001, 282 (06) :343-348

[8]

Ahmed Z., 2014, ARXIV14105530QUANTPH

[9] Coherent perfect absorption with and without lasing in complex potentials [J].

Ahmed, Zafar .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (38)

[10] Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential [J].

Ahmed, Zafar .

PHYSICS LETTERS A, 2013, 377 (13) :957-959

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