scholarly journals Coherent States Quantization and Affine Symmetry in Quantum Models of Gravitational Singularities

2018 ◽  
pp. 281-309
Author(s):  
Hervé Bergeron ◽  
Ewa Czuchry ◽  
Przemysław Małkiewicz
Keyword(s):  
Coherent States ◽  
Quantum Models ◽  
Affine Symmetry

KLAUDER–PERELOMOV AND GAZEAU–KLAUDER COHERENT STATES FOR SOME SHAPE INVARIANT POTENTIALS

2002 ◽  
Vol 17 (26) ◽  
pp. 1701-1712 ◽  
Author(s):  
A. CHENAGHLOU ◽  
H. FAKHRI
Keyword(s):  
Distribution Function ◽  
Weight Distribution ◽  
Coherent States ◽  
Mandel Parameter ◽  
Shape Invariance ◽  
Shape Invariant ◽  
Quantum Models ◽  
Invariance Theory ◽  
Poissonian Statistics

Firstly, the solvability of some quantum models like Eckart and Rosen–Morse II are explained on the basis of the shape invariance theory. Then, two generalized types of the Klauder–Perelomov and Gazeau–Klauder coherent states are calculated for the models. By means of calculating the Mandel parameter, it is shown that the weight distribution function of the first type coherent states obeys the Poissonian and super-Poissonian statistics, however, the weight distribution function of the second type coherent states obeys the Poissonian and sub-Poissonian statistics.

scholarly journals Affine symmetry in mechanics of collective and internal modes Part II. Quantum models

2005 ◽  
Vol 55 (1) ◽  
pp. 1-46 ◽  
Author(s):  
J.J. Sławianowski ◽  
V. Kovalchuk ◽  
A. Sławianowska ◽  
B. Gołubowska ◽  
A. Martens ◽  
...  
Keyword(s):  
Quantum Models ◽  
Affine Symmetry

Fermionic coherent states

2002 ◽  
pp. 242-252
Keyword(s):  
Coherent States

Gazeau- Klouder Coherent states on a sphere

2019 ◽  
Vol 19 (2) ◽  
pp. 379-390
Author(s):  
Z Heibati ◽  
A Mahdifar ◽  
E Amooghorban ◽  
◽  
◽  
...  
Keyword(s):  
Coherent States

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

scholarly journals Joseph Fourier 250thBirthday: Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst Century

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 250
Author(s):  
Frédéric Barbaresco ◽  
Jean-Pierre Gazeau
Keyword(s):  
Fourier Analysis ◽  
Heat Equation ◽  
Harmonic Analysis ◽  
Lie Groups ◽  
Coherent States ◽  
Geometric Theory ◽  
Plancherel Formula ◽  
Group Representations ◽  
Modern Development ◽  
Xxist Century

For the 250th birthday of Joseph Fourier, born in 1768 at Auxerre in France, this MDPI special issue will explore modern topics related to Fourier analysis and Fourier Heat Equation. Fourier analysis, named after Joseph Fourier, addresses classically commutative harmonic analysis. The modern development of Fourier analysis during XXth century has explored the generalization of Fourier and Fourier-Plancherel formula for non-commutative harmonic analysis, applied to locally compact non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups (by associating coherent states to group representations that are square integrable over a homogeneous space). The name of Joseph Fourier is also inseparable from the study of mathematics of heat. Modern research on Heat equation explores geometric extension of classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. The heat equation for a general volume form that not necessarily coincides with the Riemannian one is useful in sub-Riemannian geometry, where a canonical volume only exists in certain cases. A new geometric theory of heat is emerging by applying geometric mechanics tools extended for statistical mechanics, for example, the Lie groups thermodynamics.

sl(2)-modules bysl(2)-coherent states

2016 ◽  
Vol 57 (9) ◽  
pp. 091704 ◽  
Author(s):  
H. Fakhri ◽  
M. Sayyah-Fard
Keyword(s):  
Coherent States

London-modified coherent states: statistical properties and interaction with a two-level atom

2021 ◽  
Vol 68 (4) ◽  
pp. 196-201
Author(s):  
H. M. Moya-Cessa ◽  
Julio Guerrero
Keyword(s):  
Coherent States ◽  
Statistical Properties ◽  
Level Atom

All-Optical Optimal N -to- M Quantum Cloning of Coherent States

2021 ◽  
Vol 126 (6) ◽  
Author(s):  
Shengshuai Liu ◽  
Yanbo Lou ◽  
Yingxuan Chen ◽  
Jietai Jing
Keyword(s):  
Coherent States ◽  
Quantum Cloning ◽  
All Optical
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