On Some Geometric Aspects of Coherent States

被引：1
|
作者：
Spera, Mauro [1 ]
机构：
[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis Niccolo Tartaglia, Via Musei 41, I-25121 Brescia, Italy
来源：
COHERENT STATES AND THEIR APPLICATIONS: A CONTEMPORARY PANORAMA | 2018年 / 205卷
关键词：
MINIMUM FISHER INFORMATION; QUANTUM-MECHANICS; RIEMANN SURFACES; VECTOR BUNDLES; REPRESENTATIONS; PHASE; QUANTIZATION; DERIVATION; MANIFOLDS; PRINCIPLE;
D O I：
10.1007/978-3-319-76732-1_8
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this note we review some issues in the geometrical approach to coherent states (CS). Specifically, we reformulate the standard (compact, simple) Lie group CS by placing them within the frameworks of geometric quantum mechanics and holomorphic geometric quantization and establishing a connection with Fisher information theory. Secondly, we briefly revisit the CS-approach to the Hilbert space Grassmannian and the KP-hierarchy and finally we discuss the CS aspects emerging in the geometric approach to Landau levels via the Fourier-Mukai-Nahm transform.
引用
收藏
页码：157 / 172
页数：16
相关论文
共 50 条
  • [31] Statistical Aspects of Coherent States of the Higgs Algebra
    Shreecharan, T.
    Kumar, M. Naveen
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2018, 57 (07) : 2133 - 2144
  • [32] Statistical Aspects of Coherent States of the Higgs Algebra
    T. Shreecharan
    M. Naveen Kumar
    International Journal of Theoretical Physics, 2018, 57 : 2133 - 2144
  • [33] Nonlinear coherent states and some of their properties
    Recamier, J.
    Gorayeb, M.
    Mochan, W. L.
    Paz, J. L.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (03) : 673 - 683
  • [34] GENERALIZED COHERENT STATES AND SOME THEIR APPLICATIONS
    PERELOMOV, AM
    USPEKHI FIZICHESKIKH NAUK, 1977, 123 (01): : 23 - 55
  • [35] COHERENT STATES - THEORY AND SOME APPLICATIONS
    ZHANG, WM
    FENG, DH
    GILMORE, R
    REVIEWS OF MODERN PHYSICS, 1990, 62 (04) : 867 - 927
  • [36] SOME PROPERTIES OF COHERENT SPIN STATES
    RADCLIFFE, JM
    JOURNAL OF PHYSICS PART A GENERAL, 1971, 4 (03): : 313 - +
  • [37] Geometric coherence of some mixed states
    Zhao, Ming-Jing
    Xia, Tiantian
    Zhang, Lin
    Li, Bo
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (06):
  • [38] Nonlinear Coherent States and Some of Their Properties
    J. Récamier
    M. Gorayeb
    W. L. Mochán
    J. L. Paz
    International Journal of Theoretical Physics, 2008, 47 : 673 - 683
  • [39] A CATEGORY OF GEOMETRIC SPACES - SOME COMPUTATIONAL ASPECTS
    PFALZGRAF, J
    ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE, 1995, 13 (1-2) : 173 - 193
  • [40] SOME GEOMETRIC ASPECTS OF POTENTIAL-THEORY
    HAWKES, J
    LECTURE NOTES IN MATHEMATICS, 1984, 1095 : 130 - 154
12345