scholarly journals Informationally complete sets of Gaussian measurements

2013 ◽  
Vol 46 (48) ◽  
pp. 485303 ◽  
Author(s):  
Jukka Kiukas ◽  
Jussi Schultz
Keyword(s):  
Complete Sets

scholarly journals Integrability, intertwiners and non-linear algebras in Calogero models

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Francisca Carrillo-Morales ◽  
Francisco Correa ◽  
Olaf Lechtenfeld
Keyword(s):  
Wave Functions ◽  
Energy Eigenstates ◽  
Conserved Charges ◽  
Low Level ◽  
Shift Operators ◽  
Non Linear ◽  
Complete Sets

Abstract For the rational quantum Calogero systems of type A1⊕A2, AD3 and BC3, we explicitly present complete sets of independent conserved charges and their nonlinear algebras. Using intertwining (or shift) operators, we include the extra ‘odd’ charges appearing for integral couplings. Formulæ for the energy eigenstates are used to tabulate the low-level wave functions.

Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)

1974 ◽  
Vol 15 (10) ◽  
pp. 1787-1799 ◽  
Author(s):  
B. R. Judd ◽  
W. Miller ◽  
J. Patera ◽  
P. Winternitz
Keyword(s):  
Enveloping Algebra ◽  
Commuting Operators ◽  
Complete Sets

scholarly journals Analytical Expressions of Hydro-Seismic Forces on Dams

2018 ◽  
Author(s):  
Abdelmadjid Tadjadit ◽  
Boualem Tiliouine
Keyword(s):  
Viscous Fluid ◽  
Linear Combination ◽  
Upstream Face ◽  
Compressible Viscous Fluid ◽  
Natural Modes ◽  
Boundary Method ◽  
Complete Sets ◽  
Seismic Forces ◽  
Analytical Expressions

Analytical expressions for the determination of hydro-seismic forces acting on a rigid dam with irregular upstream face geometry in presence of a compressible viscous fluid are derived through a linear combination of the natural modes of water in the reservoir based on a boundary method making use of complete sets of complex T-functions.Analytical expressions for the determination of hydro-seismic forces acting on a rigid dam with irregular upstream face geometry in presence of a compressible viscous fluid are derived through a linear combination of the natural modes of water in the reservoir based on a boundary method making use of complete sets of complex T-functions. The formulas obtained for distributions of both shear forces and overturning moments are simple, computationally effective and useful for the preliminary design of dams. They show clearly the separate and combined effects of compressibility and viscosity of water. They also have the advantage of being able to cover a wide range of excitation frequencies even beyond the cut-off frequencies of the natural modes of the reservoir. Key results obtained using the proposed analytical expressions of the hydrodynamic forces are validated using numerical and experimental solutions published for some particular cases available in the specialized literature.

scholarly journals Structure of the Space of Diametrically Complete Sets in a Minkowski Space

2012 ◽  
Vol 48 (2) ◽  
pp. 467-486 ◽  
Author(s):  
José Pedro Moreno ◽  
Rolf Schneider
Keyword(s):  
Minkowski Space ◽  
Complete Sets
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