Coherent States with Complex Functions

被引:0
|
作者
K. Thirulogasanthar
G. Honnouvo
G. Honnouvo
机构
[1] Concordia University,Department of Mathematics and Statistics
[2] Concordia University,Department of Mathematics and Statistics
[3] Institut de Mathématiques et de Sciences Physiques,Unité de Recherche en Physique Thérique
[4] 01 B.P,undefined
关键词
Coherent state; reproducing kernel; oscillator algebra;
D O I
暂无
中图分类号
学科分类号
摘要
The canonical coherent states are infinite series in powers of a complex number z. We present classes of coherent states by replacing this complex number z by other choices, namely, iterates of a complex function, higher functions, and elementary functions. Further, we show that some of these classes do not furnish generalized oscillator algebras in the natural way. A reproducing kernel Hilbert space is discussed to each class of coherent states.
引用
收藏
页码:1053 / 1071
页数:18
相关论文
共 50 条
  • [41] EXACT WAVE FUNCTIONS AND COHERENT STATES FOR A FORCED DAMPED HARMONIC OSCILLATOR
    Li, Ti-Jun
    REPORTS ON MATHEMATICAL PHYSICS, 2008, 62 (02) : 157 - 165
  • [42] Comments on “Barut-Girardello Coherent States for the Parabolic Cylinder Functions”
    H. Fakhri
    A. Dehghani
    B. Mojaveri
    International Journal of Theoretical Physics, 2009, 48
  • [43] Generalized hypergeometric coherent states for special functions: Mathematical and physical properties
    Akouetegan, Messan M.
    Aremua, Isiaka
    Sodoga, Komi
    Hounkonnou, Mahouton N.
    Mensah, Yaogan
    JOURNAL OF MATHEMATICAL PHYSICS, 2025, 66 (01)
  • [44] Generalized coherent states related to the cylindrical Bessel functions and Legendre oscillator
    Patrick, Kayupe Kikodio
    JOURNAL OF PHYSICS COMMUNICATIONS, 2018, 2 (09):
  • [45] GENERALIZED COHERENT STATES AND GENERALIZED SQUEEZED COHERENT STATES
    SATYANARAYANA, MV
    PHYSICAL REVIEW D, 1985, 32 (02): : 400 - 404
  • [46] Phycocyanin: One Complex, Two States, Two Functions
    Gwizdala, Michal
    Kruger, Tjaart P. J.
    Wahadoszamen, Md.
    Gruber, J. Michael
    van Grondelle, Rienk
    JOURNAL OF PHYSICAL CHEMISTRY LETTERS, 2018, 9 (06): : 1365 - 1371
  • [47] On the geometry of complex Grassmann manifold, its noncompact dual and coherent states
    Berceanu, S
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 1997, 4 (02) : 205 - 243
  • [48] Noncommutative Complex Manifolds via Coherent States of Quantum Groups and Supergroups
    Aizawa, N.
    Chakrabarti, R.
    Segar, J.
    LIE THEORY AND ITS APPLICATIONS IN PHYSICS, 2010, 1243 : 254 - +
  • [50] Barut-Girardello and Klauder-Perelomov coherent states for the Kravchuk functions
    Fakhri, H.
    Dehghani, A.
    JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (04)