Search results for "klein-Gordon"
showing 4 items of 4 documents
Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein–Gordon lattices
2017
International audience; In this paper, we analyze the conditions leading to the nonlinear supratransmission phenomenon in two different models: a modified fifth order Klein–Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. Especially, we numerically quantify the influence of the nonlinear coupling coefficient on the threshold amplitude which triggers the nonlinear supratransmission phenomenon. Our main result shows that, in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the nonlinear supratransmission pheno…
Analysis of nonlinear coupling on the behavior of the sine-Gordon and Klein-Gordon models in bandwidth and forbidden bands
2017
In this thesis, we analyze the conditions of existence of the phenomenon of nonlinear supratransmission in two different models: a modified fifth-order Klein-Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. In particular, we quantify numerically the influence of the non-linear coupling coefficient on the threshold amplitude which triggers the phenomenon of non-linear supratransmission. Our main result shows that in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the phenomenon of nonlinear supratransmission…
Measurement of the integrated luminosities of the data taken by BESIII at √ s = 3.650 and 3.773 GeV
2013
Data sets were collected with the BESIII detector at the BEPC II collider at the center-of-mass energy of root s=3.650 GeV during May 2009 and at root s=3.773 GeV from January 2010 to May 2011. By analyzing the large angle Bhabha scattering events, the integrated luminosities of the two data sets are measured to be (44.49 +/- 0.02 +/- 0.44) pb(-1) and (2916.94 +/- 0.18 +/- 29.17) pb(-1), respectively, where the first error is statistical and the second error is systematic.
Electron structure, ultra-dense hydrogen and low energy nuclear reactions
2019
In this paper, a simple Zitterbewegung electron model, proposed in a previous work, is presented from a different perspective based on the principle of mass- frequency equivalence. A geometric- electromagnetic interpretation of mass, relativistic mass, De Broglie wavelength, Proca, Klein- Gordon, Dirac and Aharonov- Bohm equations in agreement with the model is proposed. A non-relativistic, Zitterbewegung interpretation of the 3.7 keV deep hydrogen level found by J. Naudts is presented. According to this perspective, ultra-dense hydrogen can be conceived as a coherent chain of bosonic electrons with protons or deuterons located in the center of their Zitterbewegung orbits. This approach sug…