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It is shown that neither the Schrödinger equation nor the Klein-Gordon one with logarithmic nonlinearities have dissipative solutions. In the case of one-dimensional space, numerical experiments with different Cauchy data, in the nonrelativistic[...]texto impreso
It is shown that the Schrödinger equation nor the Klein-Gordon one with logarithmic nonlinearities have dissipative solutions. In the case of one-dimensional space, numerical experiments with different Cauchy data, in the nonrelativistic case, l[...]texto impreso
An integrodifferential Dirac equation in one space dimension is proposed, such that there is a close correspondence between its solutions and a subset of those of the sine-Gordon equation. It has solitonic solutions, quantized charge and positiv[...]texto impreso
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The stability of fireballs in a recent model of ball lightning is studied. It is shown that the balls shine while relaxing in:in almost quiescent expansion, and that three effects contribute to their stability: (i) the formation in each one duri[...]texto impreso
A version in 1+1 dimensions of a recently proposed model of an extended particle with confined constituents is presented. Several constitutive spinors, considered as classical c numbers, interact through a vector coupling. There are no solutions[...]texto impreso
It is shown that the indefinite character of the charge in classical models of extended particles with confined constituents is a serious handicap since infinite amounts of positive and negative charge can be emitted in some solutions, causing a[...]texto impreso
The electromagnetic mass of an extended particle with spin is studied in Born-Infeld theory.texto impreso
The electromagnetic self?interaction of a bound classical nonlinear Dirac field in a Coulomb potential is studied. It is shown that by a finite renormalization procedure the radiative corrections can be eliminated at order ?2, after which the en[...]texto impreso
The requirements of causality and finite range lead to analytic expressions for theS-matrix in ?N resonant waves. The singularities in the complex energy plane are obtained. From them it is easy to calculate the mass and width of the resonances.[...]texto impreso
A formalism is presented in order to impose causality conditions for finite?range interactions which do not require the existence of wave packets with a sharp front. The absence of bound states and particle production is assumed. Two different c[...]texto impreso
A characterization of the noncausal behavior of a covariant wave equation is given in terms of the invariance of the hyperbolicity conditions. Some examples in which the Dirac field is not causal are studied.texto impreso
The similarity between a magnetic field and a dynamical system is used here to illustrate the idea of integrability, the magnetic surfaces corresponding to the constants of the motion. The transition order-chaos is studied in the case of the sup[...]texto impreso
The classical electromagnetic interactions of a nonlinear spinor field are studied in perturbation theory. When Pauli terms are included, the model describes with reasonable accuracy (within the assumed approximations) such properties of the nuc[...]
