PT-symmetric representations of fermionic algebras
A recent paper by Jones-Smith and Mathur, Phys. Rev. A 82, 042101 (2010) extends PT-symmetric quantum mechanics from bosonic systems (systems for which T2=1) to fermionic systems (systems for which T2=−1). The current paper shows how the formalism developed by Jones-Smith and Mathur can be used to c...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 August 2011
|
| In: |
Physical review. A, Atomic, molecular, and optical physics
Year: 2011, Volume: 84, Issue: 2, Pages: 1-5 |
| ISSN: | 1094-1622 |
| DOI: | 10.1103/PhysRevA.84.024102 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.84.024102 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.84.024102 
|
| Author Notes: | Carl M. Bender and S.P. Klevansky |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1795780452 | ||
| 003 | DE-627 | ||
| 005 | 20220820145409.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220316s2011 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1103/PhysRevA.84.024102 |2 doi | |
| 035 | |a (DE-627)1795780452 | ||
| 035 | |a (DE-599)KXP1795780452 | ||
| 035 | |a (OCoLC)1341446158 | ||
| 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 PT-symmetric representations of fermionic algebras |c Carl M. Bender and S.P. Klevansky |
| 246 | 3 | 3 | |a Rho tau-symmetric representations of fermionic algebras |
| 264 | 1 | |c 25 August 2011 | |
| 300 | |a 5 | ||
| 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 16.03.2022 | ||
| 520 | |a A recent paper by Jones-Smith and Mathur, Phys. Rev. A 82, 042101 (2010) extends PT-symmetric quantum mechanics from bosonic systems (systems for which T2=1) to fermionic systems (systems for which T2=−1). The current paper shows how the formalism developed by Jones-Smith and Mathur can be used to construct PT-symmetric matrix representations for operator algebras of the form η2=0, ¯η2=0, η¯η+¯ηη=α1, where ¯η=ηPT=PTηT−1P−1. It is easy to construct matrix representations for the Grassmann algebra (α=0). However, one can only construct matrix representations for the fermionic operator algebra (α≠0) if α=−1; a matrix representation does not exist for the conventional value α=1. | ||
| 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. A, Atomic, molecular, and optical physics |d College Park, MD : American Physical Society, 1970 |g 84(2011), 2, Artikel-ID 024102, Seite 1-5 |h Online-Ressource |w (DE-627)268757283 |w (DE-600)1472694-4 |w (DE-576)077609492 |x 1094-1622 |7 nnas |a PT-symmetric representations of fermionic algebras |
| 773 | 1 | 8 | |g volume:84 |g year:2011 |g number:2 |g elocationid:024102 |g pages:1-5 |g extent:5 |a PT-symmetric representations of fermionic algebras |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevA.84.024102 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://link.aps.org/doi/10.1103/PhysRevA.84.024102 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220316 | ||
| 993 | |a Article | ||
| 994 | |a 2011 | ||
| 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 2 |y j | ||
| 999 | |a KXP-PPN1795780452 |e 4091168256 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"title_sort":"PT-symmetric representations of fermionic algebras","title":"PT-symmetric representations of fermionic algebras"}],"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Bender, Carl M.","given":"Carl M.","family":"Bender"},{"family":"Klevansky","given":"Sandra Pamela","roleDisplay":"VerfasserIn","display":"Klevansky, Sandra Pamela","role":"aut"}],"titleAlt":[{"title":"Rho tau-symmetric representations of fermionic algebras"}],"language":["eng"],"recId":"1795780452","note":["Gesehen am 16.03.2022"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"id":{"doi":["10.1103/PhysRevA.84.024102"],"eki":["1795780452"]},"origin":[{"dateIssuedDisp":"25 August 2011","dateIssuedKey":"2011"}],"name":{"displayForm":["Carl M. Bender and S.P. Klevansky"]},"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"name":{"displayForm":["The American Physical Society"]},"origin":[{"publisherPlace":"College Park, MD","publisher":"American Physical Society","dateIssuedKey":"1970","dateIssuedDisp":"1970-2015"}],"id":{"zdb":["1472694-4"],"eki":["268757283"],"issn":["1094-1622"]},"disp":"PT-symmetric representations of fermionic algebrasPhysical review. A, Atomic, molecular, and optical physics","note":["Gesehen am 20. Januar 2016"],"type":{"bibl":"periodical","media":"Online-Ressource"},"language":["eng"],"corporate":[{"display":"American Physical Society","roleDisplay":"Herausgebendes Organ","role":"isb"}],"recId":"268757283","pubHistory":["3.Ser. 1.1970 - 92.2015"],"titleAlt":[{"title":"Physical review / A"},{"title":"PRA"},{"title":"A online"}],"part":{"extent":"5","volume":"84","text":"84(2011), 2, Artikel-ID 024102, Seite 1-5","issue":"2","pages":"1-5","year":"2011"},"title":[{"title":"Physical review","title_sort":"Physical review","partname":"Atomic, molecular, and optical physics"}]}],"physDesc":[{"extent":"5 S."}]} | ||
| SRT | |a BENDERCARLPTSYMMETRI2520 | ||