A non-linear generalization of the schrödinger and Dirac equations

1954 ◽  
Vol 11 (6) ◽  
pp. 674-682 ◽  
Author(s):  
M. Schönberg
Keyword(s):  
Dirac Equations ◽  
Non Linear

Non-classical symmetries and invariant solutions of non-linear Dirac equations

2015 ◽  
Vol 26 (1-3) ◽  
pp. 201-210 ◽  
Author(s):  
P.M.M. Rocha ◽  
F.C. Khanna ◽  
T.M. Rocha Filho ◽  
A.E. Santana
Keyword(s):  
Invariant Solutions ◽  
Dirac Equations ◽  
Classical Symmetries ◽  
Non Linear

scholarly journals Constraining Non-linear Dirac Equations with Neutrino Oscillations

2019 ◽  
Vol 206 ◽  
pp. 09010
Author(s):  
James Asikin Cheung ◽  
Wei Khim Ng
Keyword(s):  
Neutrino Oscillations ◽  
Axiomatic Approach ◽  
Dispersion Relations ◽  
Energy Dispersion ◽  
Dirac Equations ◽  
Modified Dispersion Relations ◽  
Phenomenological Studies ◽  
Non Linear ◽  
Quantum Models ◽  
Linear Quantum

Considering the phenomenological studies of non-linear quantum models, we use an axiomatic approach to modify the Dirac Lagrangian. We apply constraints such as Hermiticity, locality, universality, etc to obtain various generic modified energy dispersion relations. After-which, we use the parameters from the neutrino oscillations to obtain bounds on these new modified dispersion relations.

B. The Non-Linear Calculations for Pulsating Stars

1967 ◽  
Vol 28 ◽  
pp. 105-176
Author(s):  
Robert F. Christy
Keyword(s):  
Major Part ◽  
Afternoon Session ◽  
Discussion Session ◽  
Pulsating Stars ◽  
Fourth Symposium ◽  
Non Linear ◽  
Considerable Discussion ◽  
Informal Approach ◽  
Preceding Session

(Ed. note: The custom in these Symposia has been to have a summary-introductory presentation which lasts about 1 to 1.5 hours, during which discussion from the floor is minor and usually directed at technical clarification. The remainder of the session is then devoted to discussion of the whole subject, oriented around the summary-introduction. The preceding session, I-A, at Nice, followed this pattern. Christy suggested that we might experiment in his presentation with a much more informal approach, allowing considerable discussion of the points raised in the summary-introduction during its presentation, with perhaps the entire morning spent in this way, reserving the afternoon session for discussion only. At Varenna, in the Fourth Symposium, several of the summaryintroductory papers presented from the astronomical viewpoint had been so full of concepts unfamiliar to a number of the aerodynamicists-physicists present, that a major part of the following discussion session had been devoted to simply clarifying concepts and then repeating a considerable amount of what had been summarized. So, always looking for alternatives which help to increase the understanding between the different disciplines by introducing clarification of concept as expeditiously as possible, we tried Christy's suggestion. Thus you will find the pattern of the following different from that in session I-A. I am much indebted to Christy for extensive collaboration in editing the resulting combined presentation and discussion. As always, however, I have taken upon myself the responsibility for the final editing, and so all shortcomings are on my head.)

A decomposition method in non-linear programmm

Optimization ◽  
1975 ◽  
Vol 6 (4) ◽  
pp. 549-559
Author(s):  
L. Gerencsér
Keyword(s):  
Decomposition Method ◽  
Non Linear

The licensing and accreditation debate: Linear thinking in a non-linear world?

1979 ◽  
Author(s):  
George W. Howe ◽  
James H. Dalton ◽  
Maurice J. Elias
Keyword(s):  
Non Linear
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