scholarly journals SU3 coherent state operators and invariant correlation functions and their quantum group counterparts

1995 ◽  
Vol 36 (4) ◽  
pp. 2030-2052 ◽  
Author(s):  
Hagop Sazdjian ◽  
Yassen S. Stanev ◽  
Ivan T. Todorov
Keyword(s):  
Coherent State ◽  
Quantum Group ◽  
Correlation Functions

QUANTUM OPTICS: GROUP AND NON-GROUP METHODS

1999 ◽  
Vol 13 (24n25) ◽  
pp. 3021-3038 ◽  
Author(s):  
ALLAN I. SOLOMON
Keyword(s):  
Quantum Optics ◽  
Coherent State ◽  
Quantum Group ◽  
Squeezed States ◽  
Theoretical Methods ◽  
Group Methods ◽  
Photon States

We give a brief review of some group and quantum group theoretical methods used for the construction of photon states, generalisations of coherent and squeezed states. We finally describe a more general approach, exemplified by a new generalized coherent state, a generalization of the Kerr state.

scholarly journals On the Husimi Version of the Classical Limit of Quantum Correlation Functions

2020 ◽  
Vol 5 (1) ◽  
pp. 3 ◽  
Author(s):  
Sreeja Loho Choudhury ◽  
Frank Großmann
Keyword(s):  
Coherent State ◽  
Correlation Functions ◽  
Classical Limit ◽  
Quantum Correlation ◽  
Semiclassical Theory ◽  
Morse Oscillator ◽  
Survival Probabilities ◽  
Numerical Comparisons ◽  
Harmonic Degree ◽  
Full Quantum

We extend the Husimi (coherent state) based version of linearized semiclassical theories for the calculation of correlation functions to the case of survival probabilities. This is a case that could be dealt with before only by use of the Wigner version of linearized semiclassical theory. Numerical comparisons of the Husimi and the Wigner case with full quantum results as well as with full semiclassical ones will be given for the revival dynamics in a Morse oscillator with and without coupling to an additional harmonic degree of freedom.

The Dyson Realization of the Quantum Group SU(1,1) q and Its Coherent state

1994 ◽  
Vol 22 (3) ◽  
pp. 379-382
Author(s):  
Guo-Xing Ju ◽  
Jin-He Tao ◽  
Mian Wang
Keyword(s):  
Coherent State ◽  
Quantum Group

scholarly journals THE 19-VERTEX MODEL AT CRITICAL REGIME |q|=1

2001 ◽  
Vol 16 (09) ◽  
pp. 1559-1578 ◽  
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Quantum Group ◽  
Correlation Functions ◽  
Free Field ◽  
Integral Representations ◽  
Critical Regime ◽  
Vertex Operators ◽  
Vertex Model ◽  
Free Fermions

We study the 19-vertex model associated with the quantum group [Formula: see text] at critical regime |q|=1. We give the realizations of the vertex operators in terms of free bosons and free fermions. Using these free field realizations, we present integral representations for the correlation functions.

Sign in / Sign up

Export Citation Format

Share Document