Quantum logics with given centers and variable state spaces

被引:1
|
作者
Navara, M [1 ]
Ptak, P
机构
[1] Czech Tech Univ, Fac Elect Engn, Ctr Machine Percept, Prague 16627, Czech Republic
[2] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague 16627, Czech Republic
关键词
Field Theory; Elementary Particle; State Space; Quantum Field Theory; Related Question;
D O I
10.1023/A:1026629726261
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We ask which logics with a given center allow for enlargements with an arbitrary state space. We show that these are precisely those logics the center of which possesses a two-valued state and the state space of which is nonempty. This extends the results of Binder as well as our previous results and supplements the results of Foulis and Ptak and of Navara, Ptak, and Rogalewicz. We also comment on some related questions.
引用
收藏
页码:139 / 145
页数:7
相关论文
共 50 条
  • [21] Spectral presheaves as quantum state spaces
    Doering, Andreas
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2015, 373 (2047):
  • [22] Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
    Ragnisco, Orlando
    Ballesteros, Angel
    Herranz, Francisco J.
    Musso, Fabio
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2007, 3
  • [23] Quantum logics and quantum measurements
    Pulmannová, S
    [J]. LANGUAGE, QUANTUM, MUSIC, 1999, 281 : 263 - 268
  • [24] Concrete Quantum Logics and Δ -Logics, States and Δ -States
    Michal Hroch
    Pavel Pták
    [J]. International Journal of Theoretical Physics, 2017, 56 : 3852 - 3859
  • [25] MODAL LOGICS OF METRIC SPACES
    Bezhanishvili, Guram
    Gabelaia, David
    Lucero-Bryan, Joel
    [J]. REVIEW OF SYMBOLIC LOGIC, 2015, 8 (01): : 178 - 191
  • [26] Modal Logics of Stone Spaces
    Guram Bezhanishvili
    John Harding
    [J]. Order, 2012, 29 : 271 - 292
  • [27] Modal Logics of Stone Spaces
    Bezhanishvili, Guram
    Harding, John
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2012, 29 (02): : 271 - 292
  • [28] Concrete Quantum Logics and Δ-Logics, States and Δ-States
    Hroch, Michal
    Ptak, Pavel
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2017, 56 (12) : 3852 - 3859
  • [29] Notes on logics of metric spaces
    Kutz O.
    [J]. Studia Logica, 2007, 85 (1) : 75 - 104
  • [30] Pure Variable Inclusion Logics
    Paoli, F.
    Baldi, M. Pra
    Szmuc, D.
    [J]. LOGIC AND LOGICAL PHILOSOPHY, 2021, 30 (04) : 631 - 652