GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS

被引:1
作者
Yamagami, Shigeru [1 ]
机构
[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
关键词
Coherent states; transition probability; CCR algebras;
D O I
10.1142/S0219025712500099
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Geometric positions of square roots of coherent states of CCR algebras are investigated along with an explicit formula for transition amplitudes among them, which is a natural extension of our previous results on quasi-free states and will provide a new insight into the quasi-equivalence problem on coherent states.
引用
收藏
页数:9
相关论文
共 50 条
[21]   COSTRATIFICATION IN TERMS OF COHERENT STATES [J].
Fuchs, Erik .
REPORTS ON MATHEMATICAL PHYSICS, 2017, 79 (02) :135-149
[22]   Painleve IV coherent states [J].
Bermudez, David ;
Contreras-Astorga, Alonso ;
Fernandez, David J. C. .
ANNALS OF PHYSICS, 2014, 350 :615-634
[23]   Nonclassical properties of coherent states [J].
Johansen, LM .
PHYSICS LETTERS A, 2004, 329 (03) :184-187
[24]   Concurrence in the framework of coherent states [J].
K. Berrada ;
A. Chafik ;
H. Eleuch ;
Y. Hassouni .
Quantum Information Processing, 2010, 9 :13-26
[25]   The Mth nonlinear coherent states [J].
Heydari, S. Majid ;
Jafari, A. ;
Abbasi, O. .
PHYSICA SCRIPTA, 2024, 99 (04)
[26]   Quantization of the Sphere with Coherent States [J].
Marc Lachièze Rey ;
Jean-Pierre Gazeau ;
Eric Huguet ;
Jacques Renaud ;
Tarik Garidi .
International Journal of Theoretical Physics, 2003, 42 (6) :1301-1310
[27]   Geometric phases and coherent states [J].
Field, TR ;
Anandan, JS .
JOURNAL OF GEOMETRY AND PHYSICS, 2004, 50 (1-4) :56-78
[28]   Bell numbers and coherent states [J].
Katriel, J .
PHYSICS LETTERS A, 2000, 273 (03) :159-161
[29]   Quantization of the sphere with coherent states [J].
Rey, ML ;
Gazeau, JP ;
Huguet, E ;
Renaud, J ;
Garidi, T .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (06) :1291-1300
[30]   Concurrence in the framework of coherent states [J].
Berrada, K. ;
Chafik, A. ;
Eleuch, H. ;
Hassouni, Y. .
QUANTUM INFORMATION PROCESSING, 2010, 9 (01) :13-26