Fractals and the Fock-Bargmann Representation of Coherent States

被引：0
|
作者：
Vitiello, Giuseppe [1 ]
机构：
[1] Univ Salerno, Dipartimento Matemat & Informat, I-84100 Salerno, Italy
来源：
QUANTUM INTERACTION, PROCEEDINGS | 2009年 / 5494卷
关键词：
BACKGROUND EEG ACTIVITY; QUANTUM; DISSIPATION; ORIGIN;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The self-similarity property of deterministic fractals is studied in the framework of the theory of entire analytical functions. The functional realization of fractals in terms of the q-deformed algebra of coherent states is presented. This sheds some light on the dynamical formation of fractals and provides some insight into the geometrical properties of coherent states. The global nature of fractals appears to emerge from coherent local deformation processes.
引用
收藏
页码：6 / 16
页数：11
相关论文
共 50 条
  • [21] Thermodynamics of dissipative coherent states
    Moura, A. R.
    Mesquita, P. D.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (50)
  • [22] Displaced rotations of coherent states
    Podoshvedov, Sergey A.
    QUANTUM INFORMATION PROCESSING, 2012, 11 (06) : 1809 - 1828
  • [23] The Mth nonlinear coherent states
    Heydari, S. Majid
    Jafari, A.
    Abbasi, O.
    PHYSICA SCRIPTA, 2024, 99 (04)
  • [24] Circuit complexity for coherent states
    Guo, Minyong
    Hernandez, Juan
    Myers, Robert C.
    Ruan, Shan-Ming
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (10):
  • [25] Unambiguous Phase Measurement for Twin-Fock States
    Shi Zezhun
    Zhou Likun
    Jin Guangri
    ACTA OPTICA SINICA, 2023, 43 (02)
  • [26] Experimental generation of multi-photon Fock states
    Cooper, Merlin
    Wright, Laura J.
    Soeller, Christoph
    Smith, Brian J.
    OPTICS EXPRESS, 2013, 21 (05): : 5309 - 5317
  • [27] Efficient bit encoding of neural networks for Fock states
    Kaestle, Oliver
    Carmele, Alexander
    PHYSICAL REVIEW A, 2021, 103 (06)
  • [28] Optimal generation of Fock states in a weakly nonlinear oscillator
    Khani, B.
    Gambetta, J. M.
    Motzoi, F.
    Wilhelm, F. K.
    PHYSICA SCRIPTA, 2009, T137
  • [29] Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes
    Cortez, Jeronimo
    Elizaga Navascues, Beatriz
    Martin-Benito, Mercedes
    Mena Marugan, Guillermo A.
    Velhinho, Jose M.
    PHYSICAL REVIEW D, 2015, 92 (10)
  • [30] Engineering nonlinear coherent states as photon-added and photon-subtracted coherent states
    Ramos-Prieto, I.
    Rodriguez-Lara, B. M.
    Moya-Cessa, H. M.
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2014, 12 (7-8)
12345