scholarly journals Bethe-salpeter equation with confining kernel; Correct non-relativistic limit and the constant to be added to the linear potential

1982 ◽  
Vol 14 (1) ◽  
pp. 94-94 ◽  
Author(s):  
Dieter Gromes
Keyword(s):  
Linear Potential ◽  
Relativistic Limit

scholarly journals Potentiometric Response of Solid-State Sensors Based on Ferric Phosphate for Iron(III) Determination

Sensors ◽  
2021 ◽  
Vol 21 (5) ◽  
pp. 1612
Author(s):  
Andrea Paut ◽  
Ante Prkić ◽  
Ivana Mitar ◽  
Perica Bošković ◽  
Dražan Jozić ◽  
...  
Keyword(s):  
Silver Sulfide ◽  
Potential Change ◽  
Linear Potential ◽  
Response Characteristics ◽  
Potentiometric Response ◽  
Best Response ◽  
Body Design ◽  
Long Lifetime ◽  
First Time

A novel ion-selective electrode with membranes based on iron(III) phosphate and silver sulfide integrated into a completely new electrode body design has been developed for the determination of iron(III) cations. The best response characteristics with linear potential change were found in the iron(III) concentration range from 3.97× 10−5 to 10−2 mol L−1. The detection limit was found to be 2.41× 10−5 mol L−1 with a slope of –20.53 ± 0.63 and regression coefficient of 0.9925, while the quantification limit was 3.97× 10−5 M. The potential change per concentration decade ranged from –13.59 ± 0.54 to –20.53 ± 1.56 for Electrode Body 1 (EB1) and from –17.28 ± 1.04 to –24 ± 1.87 for Electrode Body 2 (EB2), which is presented for the first time in this work. The prepared electrode has a long lifetime and the ability to detect changes in the concentration of iron cations within 20 s. Membrane M1 showed high recoveries in the determination of iron cations in iron(III) standard solutions (98.2–101.2%) as well as in two different pharmaceuticals (98.6–106.5%). This proves that this type of sensor is applicable in the determination of ferric cations in unknown samples, and the fact that all sensor parts are completely manufactured in our laboratory proves the simplicity of the method.

scholarly journals Three-dimensional Maxwellian extended Newtonian gravity and flat limit

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Patrick Concha ◽  
Lucrezia Ravera ◽  
Evelyn Rodríguez ◽  
Gustavo Rubio
Keyword(s):  
Cosmological Constant ◽  
Three Dimensional ◽  
Expansion Method ◽  
Gravity Models ◽  
Newtonian Gravity ◽  
Newtonian Theory ◽  
Relativistic Limit ◽  
Expansion Procedure ◽  
Three Space ◽  
Chern Simons

Abstract In the present work we find novel Newtonian gravity models in three space-time dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular U(1)-enlargement of an enhanced Maxwell Chern-Simons gravity. We show that the extended Newtonian gravity appears as a particular sub-case. Then, the introduction of a cosmological constant to the Maxwellian extended Newtonian theory is also explored. To this purpose, we consider the non-relativistic limit of an enlarged symmetry. An alternative method to obtain our results is presented by applying the semigroup expansion method to the enhanced Nappi-Witten algebra. The advantages of considering the Lie algebra expansion procedure is also discussed.

scholarly journals Constructing Carrollian CFTs

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Nishant Gupta ◽  
Nemani V. Suryanarayana
Keyword(s):  
Scalar Fields ◽  
Higher Dimensions ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Relativistic Limit ◽  
Conformal Field ◽  
Local Symmetries ◽  
Derivatives Of ◽  
Special Case

Abstract We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.

Adapting a Linear Potential Theory Solver for the Outer Hull to Account for Fluid Dynamics in Tanks

2013 ◽  
Author(s):  
Arild Ludvigsen ◽  
Zhi Yuan Pan ◽  
Peng Gou ◽  
Torgeir Vada
Keyword(s):  
Fluid Dynamics ◽  
Boundary Value ◽  
Fem Analysis ◽  
Computer Code ◽  
Added Mass ◽  
Geometrical Shape ◽  
Linear Potential ◽  
Local Pressure ◽  
Local Loads ◽  
Outer Solution

The linear boundary value problem for the wave dynamics inside a tank is very similar to the solution for the outer hull. Because of this, the boundary value solver for the outer hull can be re-used for the tank. The oscillating hydrostatic pressure in the tank may also be calculated in the same way as for the outer hull. Thereby, the hydrostatic coefficients from the tank can also be obtained from the outer solution. This makes it, in principle, easy to adapt outer solution computer code to also account for the inner solutions for all the tanks. The procedure is discussed by Newman (2005). We have used it in a different way, isolating the tank solution into more flexible independent sub-runs. This approach provides part-results for the tanks, like added mass and restoring from the tanks. It also has numerical benefits, with the possibility to reuse the calculations for tanks of equal geometrical shape. We have also extended the procedure to account for full tanks without waves and restoring effects. The linear tank fluid dynamics is programmed into a quite general hydrodynamic frequency domain solver, with the possibility of automatic transferring of local loads to structural (FEM) analysis. Results for local loads are presented. A simpler method of quasi-static loading in tanks is discussed, with comparison to the present method. Effects on global motions and local pressure coming from the tank dynamics contributions are pointed out, such as the shifted resonance of the vessel and the added mass which differs from rigid masses of the tanks.

scholarly journals Unitary transformation for the system of a particle in a linear potential

2003 ◽  
Vol 62 (5) ◽  
pp. 622-628 ◽  
Author(s):  
D.-Y Song
Keyword(s):  
Unitary Transformation ◽  
Linear Potential

Classical-quantum Interface of a Particle in a Time-dependent Linear Potential

2010 ◽  
Vol 49 (4) ◽  
pp. 936-942 ◽  
Author(s):  
L. Krache ◽  
M. Maamache ◽  
Y. Saadi
Keyword(s):  
Time Dependent ◽  
Linear Potential ◽  
Classical Quantum ◽  
Quantum Interface

Computer simulation of the kinetic behaviour of surface reactions driven by a linear potential sweep

1977 ◽  
Vol 75 (1) ◽  
pp. 45-60 ◽  
Author(s):  
H. Angerstein-Kozlowska ◽  
J. Klinger ◽  
B.E. Conway
Keyword(s):  
Computer Simulation ◽  
Surface Reactions ◽  
Linear Potential ◽  
Potential Sweep ◽  
Kinetic Behaviour
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