Does the manifestly covariant equation ∂α Aα = 0 imply that Aα is a four-vector?

2008 ◽  
Vol 86 (5) ◽  
pp. 699-701 ◽  
Author(s):  
Y -S Huang
Keyword(s):  
Form Invariance ◽  
Covariant Equation

Does the form invariance of an equation ∂αAα = 0 imply that Aα is a four-vector? We present a simple example to answer this question, with a view to clarifying the misconception that still exists.PACS Nos.: 03.30.+p, 03.50.De, 03.50.–z

Three-order form invariance and conserved quantity

2006 ◽  
Vol 15 (8) ◽  
pp. 1672-1677 ◽  
Author(s):  
Yang Xue-Hui ◽  
Ma Shan-Jun
Keyword(s):  
Conserved Quantity ◽  
Form Invariance ◽  
Order Form

scholarly journals Application of the form invariance transformations of the scalar cosmological model in inflation theory

2021 ◽  
Vol 2090 (1) ◽  
pp. 012054
Author(s):  
O V Razina ◽  
P Yu Tsyba ◽  
N T Suikimbayeva
Keyword(s):  
Scalar Field ◽  
Equations Of Motion ◽  
Scale Factor ◽  
Transformation Model ◽  
Observation Data ◽  
Form Invariance ◽  
Slow Roll ◽  
Factor Α ◽  
Friedmann Robertson Walker ◽  
Invariance Transformation

Abstract In this work, it is shown that the equations of motion of the scalar field for spatially flat, homogeneous, and isotropic space-time Friedmann-Robertson-Walker have a form-invariance symmetry, which is arising from the form invariance transformation. Form invariance transformation is defined by linear function ρ = n 2 ρ in general case. It is shown the method of getting potential and the scalar field for the power law scale factor. The initial model is always stable at exponent of the scale factor α > 1, but stability of the transformation model depends on index n. Slow roll parameters and spectral induces is obtained and at large α they agree with Planck observation data.

Form Invariance I

2016 ◽  
pp. 63-80
Author(s):  
Hanns Ludwig Harney
Keyword(s):  
Form Invariance

Form Invariance I: Real x

2003 ◽  
pp. 46-56
Author(s):  
Hanns L. Harney
Keyword(s):  
Form Invariance

Quantum Approximation for Josephson's Tunneling in Thx DUO2 Nano Material for 535 Tesla at Muon Cyclotron

2013 ◽  
Vol 789 ◽  
pp. 157-160
Author(s):  
Moh. Hardiyanto
Keyword(s):  
Magnetic Field ◽  
Hadron Collider ◽  
Mathematical Formulation ◽  
Nuclear Research ◽  
Josephson Tunneling ◽  
Nuclear Research Reactor ◽  
Covariant Equation ◽  
High Degree ◽  
Quantum Condition ◽  
Experimental Effort

The convergence quantum states of free covariant equation in Einsteins space with quantum condition is studied using the ABR (Abrikosov-Balseiro-Russell) formulation in convergence approximation for Josephson tunneling is important role for determine of neutrino particle existing, especially after Cerenkovs effect for 517 tesla super magnetic at Large Hadron Collider (LHC) Cyclotron in CERN, Lyon, France based on ThxDUO2nanomaterial. This approaching will be solved the problem for determine the value of interstellar Electrical Conductivity (EC) on DUO2chain reaction, then the post condition of muon has been known exactly. In this research shown the value of EC is 4.32 μeV at 378 tesla magnetic field for 2.1 x 104ci/mm fast thermal neutron floating in 45.7 megawatts adjusted power of CERNs Cyclotron. The resulted by special Electron-Scanning-Nuclear-Absorbtion (ESNA) shown any possibilities of Josephsons tunneling must be boundary by muon particles without neutrino particle existing for 350 456 tesla magnetic field on UO2more enrichment nuclear fuel at CERN, whereas this research has purpose for provide the mathematical formulation to boundary of muons moving at nuclear research reactor to a high degree of accuracy and with Catch-Nuc, one of nuclear beam equipment has a few important value of experimental effort.

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