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Dissipative effects in nonlinear Klein-Gordon dynamics
(Europhysics Letters, 2016-03)
We consider dissipation in a recently proposed nonlinear Klein-Gordon dynamics that admits exact time-dependent solutions of the power-law form ei(kx>wt) q , involving the q-exponential function naturally arising within ...
Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
(Molecular Diversity Preservation International, 2017-01)
Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There ...
Classical and Quantum Field-Theoretical approach to the non-linear q-Klein-Gordon Equation
(Europhysics Letters, 2016-12)
In the wake of efforts made Nobre and Rego-Monteiro in EPL, 97 (2012) 41001 and
J. Math. Phys., 54 (2913) 103302, we extend them here by developing the conventional Lagrangian
treatment of a classical field theory (FT) ...
Klein-Gordon models with non-effective time-dependent potential
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2016-02-19)
In this thesis we study the asymptotic properties for the solution of the Cauchy
problem for the Klein-Gordon equation with non-effective time-dependent potential.
The main goal was define a suitable energy related to ...
Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
(Europhysics Letters, 2017-06)
We show how to deal with the generalized q-Schrödinger and q-Klein-Gordon fields in a variety of scenarios. These q-fields are meaningful at very high energies (TeVs) for high ones (GeVs) for and at low energies (MeVs) for ...
Scattering in the Energy Space for Boussinesq Equations
(Springer, 2018-07)
In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. ...
New non-linear modified massless Klein-Gordon equation.
The massless Klein–Gordon equation on arbitrary curved backgrounds allows for solutions which develop “tails” inside the light cone and, therefore, do not strictly follow null geodesics as discovered by DeWitt and Brehme ...