sl(2, C) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues

被引：171

作者：

Bagchi, B

Quesne, C

机构：

[1] Free Univ Brussels, B-1050 Brussels, Belgium

[2] Univ Calcutta, Dept Appl Math, Calcutta 700009, W Bengal, India

来源：

PHYSICS LETTERS A | 2000年 / 273卷 / 5-6期

关键词：

non-Hermitian Hamiltonians; PT symmetry; potential algebras;

D O I：

10.1016/S0375-9601(00)00512-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The powerful group theoretical formalism of potential algebras is extended to non-Hermitian Hamiltonians with real eigenvalues by complexifying so(2,1), thereby getting the complex algebra s1(2,C) or A(1). This leads to new types of both PT-symmetric and non-PT-symmetric Hamiltonians. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：285 / 292

页数：8

共 22 条

[1] GROUP-THEORY APPROACH TO SCATTERING .2. THE EUCLIDEAN CONNECTION [J].

ALHASSID, Y ;

GURSEY, F ;

IACHELLO, F .

ANNALS OF PHYSICS, 1986, 167 (01) :181-200

[2] GROUP-THEORY APPROACH TO SCATTERING [J].

ALHASSID, Y ;

GURSEY, F ;

IACHELLO, F .

ANNALS OF PHYSICS, 1983, 148 (02) :346-380

[3] SUSY quantum mechanics with complex superpotentials and real energy spectra [J].

Andrianov, AA ;

Ioffe, MV ;

Cannata, F ;

Dedonder, JP .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1999, 14 (17) :2675-2688

[4] PT-symmetric sextic potentials [J].

Bagchi, B ;

Cannata, F ;

Quesne, C .

PHYSICS LETTERS A, 2000, 269 (2-3) :79-82

[5] A new PT-symmetric complex Hamiltonian with a real spectrum [J].

Bagchi, B ;

Roychoudhury, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (01) :L1-L3

[6]

Ballentine L. E., 1998, Quantum Mechanics: A Modern Development

[7]

Barut A, 1988, DYNAMICAL GROUPS SPE, DOI [10.1142/0299, DOI 10.1142/0299]

[8] ON NON-COMPACT GROUPS .2. REPRESENTATIONS OF THE 2+1 LORENTZ GROUP [J].

BARUT, AO ;

FRONSDAL, C .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1965, 287 (1411) :532-&

[9] Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].

Bender, CM ;

Boettcher, S .

PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246

[10] Quasi-exactly solvable quartic potential [J].

Bender, CM ;

Boettcher, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (14) :L273-L277

← 1 2 3 →