Exploring field correlation measurements on the electromagnetic ground state in non-local regime

2021 ◽  
Author(s):  
Francesca Fabiana Settembrini ◽  
Alexa Marina Herter ◽  
Ileana-Crsitina Benea-Chelmus ◽  
Frieder Lindel ◽  
Giacomo Scalari ◽  
...  
Keyword(s):  
Ground State ◽  
Non Local ◽  
Field Correlation

scholarly journals Non-local to local transition for ground states of fractional Schrödinger equations on $$\mathbb {R}^N$$

2020 ◽  
Vol 22 (3) ◽  
Author(s):  
Bartosz Bieganowski ◽  
Simone Secchi
Keyword(s):  
Ground State ◽  
Ground States ◽  
Ground State Solution ◽  
State Solution ◽  
Local Problem ◽  
Schrödinger Equations ◽  
Ground State Solutions ◽  
Fractional Schrödinger Equations ◽  
Non Local ◽  
Local Transition

Abstract We consider the nonlinear fractional problem $$\begin{aligned} (-\Delta )^{s} u + V(x) u = f(x,u)&\quad \hbox {in } \mathbb {R}^N \end{aligned}$$ ( - Δ ) s u + V ( x ) u = f ( x , u ) in R N We show that ground state solutions converge (along a subsequence) in $$L^2_{\mathrm {loc}} (\mathbb {R}^N)$$ L loc 2 ( R N ) , under suitable conditions on f and V, to a ground state solution of the local problem as $$s \rightarrow 1^-$$ s → 1 - .

On ground state of some non local Schrödinger operators

2016 ◽  
Vol 96 (8) ◽  
pp. 1390-1400 ◽  
Author(s):  
Yuri Kondratiev ◽  
Stanislav Molchanov ◽  
Sergey Pirogov ◽  
Elena Zhizhina
Keyword(s):  
Ground State ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Non Local

Ground state of liquid helium-3: off-shell effects due to non-local potentials

Pramana ◽  
1976 ◽  
Vol 6 (6) ◽  
pp. 373-382
Author(s):  
Y S T Rao ◽  
I Rama Rao
Keyword(s):  
Liquid Helium ◽  
Ground State ◽  
Shell Effects ◽  
Non Local ◽  
Local Potentials ◽  
Helium 3

scholarly journals A Three-Dimensional Non-Local Quantum Vacuum as the Origin of Photons

2020 ◽  
Vol 65 (2) ◽  
pp. 106
Author(s):  
D. Fiscaletti ◽  
A. Sorli
Keyword(s):  
Ground State ◽  
Three Dimensional ◽  
Black Body ◽  
Physical Reality ◽  
Density Fluctuations ◽  
Quantum Vacuum ◽  
Local Quantum ◽  
Non Local ◽  
Planck’S Law ◽  
Quantization Volume

A model of a three-dimensional quantum vacuum defined by the processes of creation/annihilation of quanta corresponding to elementary energy density fluctuations is proposed. In it, a photon is not a primary physical reality but emerges itself as a special state of the three-dimensional quantum vacuum. In this model, the three-dimensional quantum vacuum has a ground state which acts as a “cosmic reservoir” of photons, which emits and absorbs photons and Planck’s law of the spectral distribution of the energy radiated by a black body derives from the fundamental processes in the three-dimensional quantum vacuum, in particular, in the context of a quantization volume responsible for the appearance of photons. Finally, the idea of the Lamb shift of hydrogenoid atoms as a phenomenon determined by the ground state of the quantum vacuum which acts as a reservoir of photons is explored.

scholarly journals Hardy type inequalities for the fractional relativistic operator

2022 ◽  
Vol 4 (3) ◽  
pp. 1-16
Author(s):  
Luz Roncal ◽  
◽  
◽  
Keyword(s):  
Ground State ◽  
Extension Problem ◽  
Local Version ◽  
State Representation ◽  
Hardy Inequalities ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Non Local

<abstract><p>We prove Hardy type inequalities for the fractional relativistic operator by using two different techniques. The first approach goes through trace Hardy inequalities. In order to get the latter, we study the solutions of the associated extension problem. The second develops a non-local version of the ground state representation in the spirit of Frank, Lieb, and Seiringer.</p></abstract>

scholarly journals Contractivity and ground state domination properties for non-local Schrödinger operators

2018 ◽  
Vol 8 (1) ◽  
pp. 165-189 ◽  
Author(s):  
Kamil Kaleta ◽  
Mateusz Kwaśnicki ◽  
József Lőrinczi
Keyword(s):  
Ground State ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Non Local ◽  
State Domination
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