Behavior of eigenvalues in a region of broken PT symmetry
PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix)ɛ. When ɛ≥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, ɛ<0...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
15 May 2017
|
| In: |
Physical review
Year: 2017, Jahrgang: 95, Heft: 5 |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.95.052113 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevA.95.052113 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.95.052113 
|
| Verfasserangaben: | Carl M. Bender, Nima Hassanpour, Daniel W. Hook, S.P. Klevansky, Christoph Sünderhauf, and Zichao Wen |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1571035397 | ||
| 003 | DE-627 | ||
| 005 | 20220814092401.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180314s2017 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1103/PhysRevA.95.052113 |2 doi | |
| 035 | |a (DE-627)1571035397 | ||
| 035 | |a (DE-576)501035397 | ||
| 035 | |a (DE-599)BSZ501035397 | ||
| 035 | |a (OCoLC)1340994302 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Bender, Carl M. |d 1943- |e VerfasserIn |0 (DE-588)1175669601 |0 (DE-627)1046958488 |0 (DE-576)516383167 |4 aut | |
| 245 | 1 | 0 | |a Behavior of eigenvalues in a region of broken PT symmetry |c Carl M. Bender, Nima Hassanpour, Daniel W. Hook, S.P. Klevansky, Christoph Sünderhauf, and Zichao Wen |
| 264 | 1 | |c 15 May 2017 | |
| 300 | |a 13 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 10.12.2020 | ||
| 520 | |a PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix)ɛ. When ɛ≥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, ɛ<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<ɛ<0. In particular, it reports the discovery of an infinite-order exceptional point at ɛ=−1, a transition from a discrete spectrum to a partially continuous spectrum at ɛ=−2, a transition at the Coulomb value ɛ=−3, and the behavior of the eigenvalues as ɛ approaches the conformal limit ɛ=−4. | ||
| 700 | 1 | |a Klevansky, Sandra Pamela |d 1959- |e VerfasserIn |0 (DE-588)1084353393 |0 (DE-627)848523520 |0 (DE-576)456294600 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Physical review |d Woodbury, NY : Inst., 2016 |g 95(2017,5) Artikel-Nummer 052113, 13 Seiten |h Online-Ressource |w (DE-627)845695479 |w (DE-600)2844156-4 |w (DE-576)454495854 |x 2469-9934 |7 nnas |a Behavior of eigenvalues in a region of broken PT symmetry |
| 773 | 1 | 8 | |g volume:95 |g year:2017 |g number:5 |g extent:13 |a Behavior of eigenvalues in a region of broken PT symmetry |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1103/PhysRevA.95.052113 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://link.aps.org/doi/10.1103/PhysRevA.95.052113 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180314 | ||
| 993 | |a Article | ||
| 994 | |a 2017 | ||
| 998 | |g 1084353393 |a Klevansky, Sandra Pamela |m 1084353393:Klevansky, Sandra Pamela |d 130000 |d 700000 |d 741000 |d 741010 |e 130000PK1084353393 |e 700000PK1084353393 |e 741000PK1084353393 |e 741010PK1084353393 |k 0/130000/ |k 0/700000/ |k 1/700000/741000/ |k 2/700000/741000/741010/ |p 4 | ||
| 999 | |a KXP-PPN1571035397 |e 3003153005 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"title_sort":"Behavior of eigenvalues in a region of broken PT symmetry","title":"Behavior of eigenvalues in a region of broken PT symmetry"}],"person":[{"given":"Carl M.","family":"Bender","role":"aut","display":"Bender, Carl M.","roleDisplay":"VerfasserIn"},{"roleDisplay":"VerfasserIn","display":"Klevansky, Sandra Pamela","role":"aut","family":"Klevansky","given":"Sandra Pamela"}],"note":["Gesehen am 10.12.2020"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"language":["eng"],"recId":"1571035397","origin":[{"dateIssuedKey":"2017","dateIssuedDisp":"15 May 2017"}],"id":{"doi":["10.1103/PhysRevA.95.052113"],"eki":["1571035397"]},"name":{"displayForm":["Carl M. Bender, Nima Hassanpour, Daniel W. Hook, S.P. Klevansky, Christoph Sünderhauf, and Zichao Wen"]},"physDesc":[{"extent":"13 S."}],"relHost":[{"title":[{"title":"Physical review","title_sort":"Physical review"}],"pubHistory":["Vol. 93, Iss. 1, January 2016-"],"titleAlt":[{"title":"Atomic, molecular, and optical physics and quantum information"}],"part":{"issue":"5","year":"2017","extent":"13","text":"95(2017,5) Artikel-Nummer 052113, 13 Seiten","volume":"95"},"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"Behavior of eigenvalues in a region of broken PT symmetryPhysical review","language":["eng"],"corporate":[{"roleDisplay":"Herausgebendes Organ","display":"American Institute of Physics","role":"isb"},{"display":"American Physical Society","roleDisplay":"Herausgebendes Organ","role":"isb"}],"recId":"845695479","origin":[{"dateIssuedDisp":"2016-","publisher":"Inst.","dateIssuedKey":"2016","publisherPlace":"Woodbury, NY"}],"id":{"zdb":["2844156-4"],"eki":["845695479"],"issn":["2469-9934"]},"name":{"displayForm":["publ. by The American Institute of Physics"]},"physDesc":[{"extent":"Online-Ressource"}]}]} | ||
| SRT | |a BENDERCARLBEHAVIOROF1520 | ||