scholarly journals Wehrl-type coherent state entropy inequalities for SU(1,1) and its $AX+B$ subgroup

Author(s):  
Elliott Lieb ◽  
Jan Philip Solovej
2009 ◽  
Vol 129 (12) ◽  
pp. 2159-2160
Author(s):  
Asami Imaeda ◽  
Masahiro Yoshikawa ◽  
Tsuyoshi Sasaki
Keyword(s):  

2021 ◽  
Vol 68 (1) ◽  
pp. 56-62
Author(s):  
P. Ghosh ◽  
P. Roy

2003 ◽  
Vol 204 (2) ◽  
pp. 355-398 ◽  
Author(s):  
Carlos A. Florentino ◽  
José M. Mourão ◽  
João P. Nunes

2008 ◽  
Vol 323 (3) ◽  
pp. 654-672 ◽  
Author(s):  
A.D. Ribeiro ◽  
M.A.M. de Aguiar
Keyword(s):  

2012 ◽  
Vol 22 (08) ◽  
pp. 1250014 ◽  
Author(s):  
FRÉDÉRIC COQUEL ◽  
EDWIGE GODLEWSKI ◽  
NICOLAS SEGUIN

We propose a relaxation framework for general fluid models which can be understood as a natural extension of the Suliciu approach in the Euler setting. In particular, the relaxation system may be totally degenerate. Several stability properties are proved. The relaxation procedure is shown to be efficient in the numerical approximation of the entropy weak solutions of the original PDEs. The numerical method is particularly simple in the case of a fully degenerate relaxation system for which the solution of the Riemann problem is explicit. Indeed, the Godunov solver for the homogeneous relaxation system results in an HLLC-type solver for the equilibrium model. Discrete entropy inequalities are established under a natural Gibbs principle.


2000 ◽  
Vol 14 (16) ◽  
pp. 609-618
Author(s):  
V. A. POPESCU

Signal-to-quantum noise ratio for quantum current in mesoscopic Josephson junction of a circular superconducting ring can be improved if the electromagnetic field is in a successive squeezed coherent state. The mesoscopic Josephson junctions can feel the difference between the successive squeezed coherent states and other types of squeezed coherent states because their current–voltage Shapiro steps are different. We compare our method with another procedure for superposition of two squeezed coherent states (a squeezed even coherent state) and consider the effect of different large inductances on the supercurrent.


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