Importance of ground state stabilization in the oxovanadium(IV)-salophen mediated reactions of phenylsulfinylacetic acids by hydrogen peroxide – Non-linear Hammett correlation

Polyhedron ◽  
2016 ◽  
Vol 117 ◽  
pp. 496-503 ◽  
Author(s):  
P. Subramaniam ◽  
R. Jeevi Esther Rathnakumari ◽  
J. Janet Sylvia Jaba Rose
Keyword(s):  
Hydrogen Peroxide ◽  
Ground State ◽  
Hammett Correlation ◽  
Non Linear

Non-linear quantum mechanical ground state SQUID magnetometer dynamics

1997 ◽  
Author(s):  
R. R. Whiteman ◽  
J. Diggins ◽  
V. Schöllmann ◽  
T. D. Clark ◽  
R. J. Prance ◽  
...  
Keyword(s):  
Ground State ◽  
Squid Magnetometer ◽  
Quantum Mechanical ◽  
Non Linear ◽  
Linear Quantum

On the Orbital Stability of Standing-Wave Solutions to a Coupled Non-Linear Klein-Gordon Equation

2012 ◽  
Vol 12 (3) ◽  
Author(s):  
Daniele Garrisi
Keyword(s):  
Standing Wave ◽  
Ground State ◽  
Gordon Equation ◽  
Standing Waves ◽  
Orbital Stability ◽  
Wave Solutions ◽  
Non Linear ◽  
Klein Gordon ◽  
Klein Gordon Equation

AbstractWe show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint. We prove that the ground state is stable and that standing-waves are orbitally stable under a non-degeneracy assumption.

scholarly journals Energy scattering for the focusing fractional generalized Hartree equation

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Tarek Saanouni
Keyword(s):  
Ground State ◽  
Schrodinger Equation ◽  
Global Solutions ◽  
Hartree Equation ◽  
Energy Space ◽  
New Method ◽  
Critical Regime ◽  
Energy Scattering ◽  
Non Linear ◽  
Fractional Schrodinger Equation

<p style='text-indent:20px;'>This note studies the asymptotics of radial global solutions to the non-linear fractional Schrödinger equation</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ i\dot u-(-\Delta)^s u+|u|^{p-2}(I_\alpha *|u|^p)u = 0. $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>Indeed, using a new method due to Dodson-Murphy [<xref ref-type="bibr" rid="b10">10</xref>], one proves that, in the inter-critical regime, under the ground state threshold, the radial global solutions scatter in the energy space.</p>

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