scholarly journals Lifespan estimates for the semi-linear Klein–Gordon equation with a quadratic potential in dimension one

2016 ◽  
Vol 261 (12) ◽  
pp. 6982-6999 ◽  
Author(s):  
Qidi Zhang
Keyword(s):  
Gordon Equation ◽  
Quadratic Potential ◽  
Klein Gordon ◽  
Dimension One ◽  
Klein Gordon Equation

scholarly journals Elko and mass dimension one field of spin one-half: Causality and Fermi statistics

2014 ◽  
Vol 23 (14) ◽  
pp. 1430026 ◽  
Author(s):  
Dharam Vir Ahluwalia ◽  
Alekha Chandra Nayak
Keyword(s):  
Gordon Equation ◽  
Quantum Field ◽  
Fermi Statistics ◽  
Mass Dimension ◽  
Klein Gordon ◽  
The Subject ◽  
Expansion Coefficients ◽  
Dimension One ◽  
Complex Valued ◽  
Klein Gordon Equation

We review how Elko arise as an extension of complex-valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed that unambiguously establishes that Elko, and for that matter the indicated Majorana spinors, cannot satisfy Dirac equation. They, however do, as they must, satisfy spinorial Klein–Gordon equation. We then introduce a quantum field with Elko as its expansion coefficients and show that it is causal, satisfies Fermi statistics, and then refer to the existing literature to remind that its mass dimension is one. We conclude by providing an up-to-date bibliography on the subject.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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