Pseudo-Hermitian generalized Dirac oscillators

被引：18
|
作者：
Dutta, D. [1 ]
Panella, O. [2 ]
Roy, P. [1 ]
机构：
[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata, India
[2] Ist Nazl Fis Nucl, Sez Perugia, I-06123 Perugia, Italy
来源：
ANNALS OF PHYSICS | 2013年 / 331卷
关键词：
Dirac oscillator; Pseudo-Hermitian operators; Dirac equations; Jaynes-Cummings model; Anti-Jaynes-Cummings model; REAL SPECTRA; SYMMETRY; HAMILTONIANS; EQUATION; SUPERSYMMETRY; POTENTIALS; OPERATORS; SHIFT;
D O I：
10.1016/j.aop.2013.01.001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study generalized Dirac oscillators with complex interactions in (1+1) dimensions. It is shown that for the choice of interactions considered here, the Dirac Hamiltonians are eta-pseudo-Hermitian with respect to certain metric operators eta. Exact solutions for the generalized Dirac oscillator for some choices of the interactions have also been obtained. It is also shown that generalized Dirac oscillators can be identified with an anti-Jaynes-Cummings-type model and by spin flipping they can also be identified with a Jaynes-Cummings-type model. (c) 2013 Elsevier Inc. All rights reserved.
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页码：120 / 126
页数：7
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