Erica Regina Takano Natti

Publications of Erica Regina Takano Natti

• Determination of the optimal relaxation parameter in a numerical procedure for solitons propagation

  Authors: Eliandro Rodrigues Cirilo, Paulo Laerte Natti, Neyva Maria Lopes Romeiro, Erica Regina Takano Natti

  07/2010;

  In this work, considering a numerical procedure developed to solve a system of coupled nonlinear complex differential equations, which describes the solitons propagation in dielectric optical fibers,In this work, considering a numerical procedure developed to solve a system of coupled nonlinear complex differential equations, which describes the solitons propagation in dielectric optical fibers, we optimize the numerical processing time, in relation to the relaxation parameter of the procedure, for relevant groups of values of the dielectric variables of the optic fiber. Key-words: optical soliton, processing time, optimization. Comment: In Portuguese

• On the equivalence principle and gravitational and inertial mass relation of classical charged particles

  Authors: Mario Goto, Paulo Laerte Natti, Erica Regina Takano Natti

  07/2010;

  We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of theWe show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force. It implies, as the strong Equivalence Principle is valid, that the passive gravitational mass of a charged point particle should be slight greater than its inertial mass. An interesting new feature that emerges from the unexpected behavior of the gravitational and inertial mass relation, for classical charged particles, at very strong gravitational field, is the existence of a critical, particle dependent, gravitational field value that signs the validity domain of the strong Equivalence Principle. For electron and proton, these critical field values are $g_{c}\simeq 4.8\times 10^{31}m/s^{2}$ and $g_{c}\simeq 8.8\times 10^{34}m/s^{2}$, respectively.

• The symmetry breaking phenomenon in anharmonic oscillator model

  Authors: Antonio Carlos Mastine, Paulo Laerte Natti, Erica Regina Takano Natti

  07/2010;

  In this article a non-perturbative time-dependent technique is used to treat the initial value problem, in Quantum Mechanics context, for a non-equilibrium self-interacting fermionic system in theIn this article a non-perturbative time-dependent technique is used to treat the initial value problem, in Quantum Mechanics context, for a non-equilibrium self-interacting fermionic system in the presence of an external magnetic field. Particularly, in mean-field regime, we study the dynamical symmetry breaking phenomenon, identifying the physical processes associated. Comment: In Portuguese