Behavior of eigenvalues in a region of broken PT symmetry
文献类型：期刊论文
| 作者 | Bender, Carl M.1; Hassanpour, Nima1; Hook, Daniel W.1,2; Klevansky, S. P.3; Snderhauf, Christoph1,3; Wen, Zichao1,4,5 |
| 刊名 | PHYSICAL REVIEW A
 |
| 出版日期 | 2017-05-15 |
| 卷号 | 95期号:5页码:13 |
| ISSN号 | 2469-9926 |
| DOI | 10.1103/PhysRevA.95.052113 |
| 英文摘要 | PT-symmetric quantum mechanics began with a study of the Hamiltonian H =p(2) + x(2)(ix)(epsilon). When epsilon >= 0, the eigenvalues of this non-Hermitian Hamiltonian are discrete, real, and positive. This portion of parameter space is known as the region of unbroken PT symmetry. In the region of broken PT symmetry, epsilon < 0, only a finite number of eigenvalues are real and the remaining eigenvalues appear as complex-conjugate pairs. The region of unbroken PT symmetry has been studied but the region of broken PT symmetry has thus far been unexplored. This paper presents a detailed numerical and analytical examination of the behavior of the eigenvalues for -4 < epsilon < 0. In particular, it reports the discovery of an infinite-order exceptional point at epsilon = -1, a transition from a discrete spectrum to a partially continuous spectrum at epsilon = -2, a transition at the Coulomb value epsilon = -3, and the behavior of the eigenvalues as e approaches the conformal limit epsilon= -4. |
| WOS研究方向 | Optics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000401443700002 |
| 出版者 | AMER PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25316]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Bender, Carl M.; Hassanpour, Nima; Hook, Daniel W.; Klevansky, S. P.; Snderhauf, Christoph; Wen, Zichao |
| 作者单位 | 1.Washington Univ, Dept Phys, St Louis, MO 63130 USA 2.Imperial Coll London, Ctr Complex Sci, London SW7 2AZ, England 3.Heidelberg Univ, Inst Theoret Phys, Philosophenweg 12, D-69120 Heidelberg, Germany 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 5.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bender, Carl M.,Hassanpour, Nima,Hook, Daniel W.,et al. Behavior of eigenvalues in a region of broken PT symmetry[J]. PHYSICAL REVIEW A,2017,95(5):13. |
| APA | Bender, Carl M.,Hassanpour, Nima,Hook, Daniel W.,Klevansky, S. P.,Snderhauf, Christoph,&Wen, Zichao.(2017).Behavior of eigenvalues in a region of broken PT symmetry.PHYSICAL REVIEW A,95(5),13. |
| MLA | Bender, Carl M.,et al."Behavior of eigenvalues in a region of broken PT symmetry".PHYSICAL REVIEW A 95.5(2017):13. |
入库方式： OAI收割
来源：数学与系统科学研究院
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