Chaotic plane-wave solutions for the relativistic self-interacting quantum electron

1986 ◽  
Vol 23 (1-3) ◽  
pp. 470-478 ◽  
Author(s):  
Gary Dilts
Keyword(s):  
Plane Wave ◽  
Wave Solutions ◽  
Quantum Electron

scholarly journals On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 32
Author(s):  
J. R. Nascimento ◽  
A. Yu. Petrov ◽  
A. R. Vieira
Keyword(s):  
Plane Wave ◽  
Dispersion Relations ◽  
Wave Solutions ◽  
Higher Derivatives ◽  
Additive Term

In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these dispersion relations display a usual Lorentz-invariant mode when the corresponding additive term involves higher derivatives.

scholarly journals THE TACHYON FIELD BELOW THE MASS BARRIER

1994 ◽  
Vol 09 (20) ◽  
pp. 3497-3502 ◽  
Author(s):  
D.G. BARCI ◽  
C.G. BOLLINI ◽  
M.C. ROCCA
Keyword(s):  
Green Function ◽  
Eigenvalue Problem ◽  
Plane Wave ◽  
Time Evolution ◽  
Mass Parameter ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Tachyon Field ◽  
Expectation Value ◽  
Wave Solutions

We consider a tachyon field whose Fourier components correspond to spatial momenta with modulus smaller than the mass parameter. The plane wave solutions have then a time evolution which is a real exponential. The field is quantized and the solution of the eigenvalue problem for the Hamiltonian leads to the evaluation of the vacuum expectation value of products of field operators. The propagator turns out to be half-advanced and half-retarded. This completes the proof4 that the total propagator is the Wheeler Green function.4,7

Exact plane‐wave solutions of the coupled Maxwell–Klein–Gordon equations

1990 ◽  
Vol 31 (12) ◽  
pp. 2917-2920 ◽  
Author(s):  
A. Das ◽  
T. Biech ◽  
D. Kay
Keyword(s):  
Plane Wave ◽  
Wave Solutions ◽  
Klein Gordon

scholarly journals Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace

2019 ◽  
Vol 29 (4) ◽  
Author(s):  
Alí Guzmán Adán ◽  
Heikki Orelma ◽  
Frank Sommen
Keyword(s):  
Dirac Equation ◽  
Plane Wave ◽  
Wave Solutions

MODULATIONAL INSTABILITY IN NONLINEAR BI-INDUCTANCE TRANSMISSION LINE

2005 ◽  
Vol 19 (26) ◽  
pp. 3961-3983 ◽  
Author(s):  
E. KENGNE ◽  
KUM K. CLETUS
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Traveling Waves ◽  
Modulational Instability ◽  
Ginzburg Landau ◽  
Complex Demodulation ◽  
Wave Solutions ◽  
Ginzburg Landau Equations ◽  
Nonlinear Plane ◽  
The Right

A nonlinear dissipative transmission line is considered and by performing the complex demodulation technique of the signal which allows, in particularly, to separate the right traveling and left traveling waves, we show that the amplitudes of these waves can be described by a complex coupled Ginzburg–Landau equations (CG-LE). The so-called phase winding solutions of the constructed CG-LE is analyzed. We also study the coherent structures in the obtained complex Ginzburg–Landau system. We show that the constructed CG-LE possesses nonlinear plane wave solutions and the modulational instability of these solutions is analyzed. The condition of the modulational instability is given in term of the coefficients of the constructed CG-LE and then in term of the wavenumber of the two right traveling and left traveling waves in the considered transmission line. The results obtained here show that the nonlinear plane wave solutions of the CG-LE under perturbation with zero wavenumber cannot be stable under modulation.

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