Weyl representation of the canonical commutation relations algebras in a Krein space

被引：0
|
作者：
Mnatsakanova, M. N. [1 ]
Salinsky, S. G. [2 ]
Vernov, Yu. S. [3 ]
机构：
[1] Lomonosov Moscow State Univ, Skobeltsyn Inst Nucl Phys, GSP-1, Moscow 119991, Russia
[2] Inst High Energy Phys, Protvino, Russia
[3] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 34期
关键词：
CCR; Weyl representation; Krein space;
D O I：
10.1142/S0217751X16501827
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In this paper, the existence of the Weyl representation for the canonical commutation relations algebras was proved in a Krein space.
引用
收藏
页数：10
相关论文
共 50 条
  • [21] Supersymmetric canonical commutation relations
    Constantinescu, Florin
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (13-14): : 2937 - 2951
  • [22] NOTE ON CANONICAL COMMUTATION RELATIONS
    JADCZYK, AZ
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1974, 22 (09): : 963 - 965
  • [23] CANONICAL COMMUTATION RELATIONS ON THE INTERVAL
    LASSNER, G
    LASSNER, GA
    TRAPANI, C
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (01) : 174 - 177
  • [24] A NOTE ON THE RELATION BETWEEN Q-ALGEBRAS WITHOUT INTERACTION AND WEYL COMMUTATION RELATIONS
    MADIVANANE, S
    SATYANARAYANA, MV
    [J]. LETTERE AL NUOVO CIMENTO, 1984, 40 (01): : 19 - 22
  • [25] CLASS OF REPRESENTATIONS OF CANONICAL COMMUTATION RELATIONS IN CURVED SPACE-TIMES
    ASHTEKAR, A
    MAGNON, A
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (11): : 741 - 743
  • [26] CLASS OF REPRESENTATIONS OF CANONICAL COMMUTATION RELATIONS IN CURVED SPACE-TIMES
    ASHTEKAR, A
    MAGNON, A
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (12): : 833 - 835
  • [27] Exactness of the Fock Space Representation of the q-Commutation Relations
    Kennedy, Matthew
    Nica, Alexandru
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 308 (01) : 115 - 132
  • [28] Exactness of the Fock Space Representation of the q-Commutation Relations
    Matthew Kennedy
    Alexandru Nica
    [J]. Communications in Mathematical Physics, 2011, 308 : 115 - 132
  • [29] UNIQUE MIXING OF THE SHIFT ON THE C*-ALGEBRAS GENERATED BY THE q-CANONICAL COMMUTATION RELATIONS
    Dykema, Kenneth
    Fidaleo, Francesco
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (01): : 275 - 281
  • [30] On the Uniqueness of Weak Weyl Representations of the Canonical Commutation Relation
    Asao Arai
    [J]. Letters in Mathematical Physics, 2008, 85
12345