[en] The paper extends earlier work on the topological origin of the the de Broglie relation in 3+1 dimensions to other dimensions both compact and not compact. Surprisingly it shows that in 2 spatial and 1 time dimension there is non de Broglie relation

[en] In the framework of general relativity theory, it has been considered the linear approximation of the gravitational field of the Earth taking into account its mass, its quadrupole moment, its shape and its diurnal rotation. The paper concludes that in the frame of reference comoving with the Earth the local anisotropy of the space is of the order of 10^-12-10^-13 and could be observed

[en] The paper derives the main properties of a generalized frame of reference with a null congruence (light flux), by means of adapted non-holonomic techniques; then it studies the geometry of the space-time in terms of non-orthogonal projection: longitudinal and transverse covariant derivatives and corresponding commutation formulae, decomposition of the Riemann and gravitational tensors, lie derivatives of the Ricci rotation coefficients, transverse Bianchi identity. Application to the (absolute and relative) light flux: kinematical characteristics and screen, Sachs theorems etc. are also given

[en] By means of the Newman-Penrose formalism, the paper studies the gravitational, electromagnetic, Dirac, and scalar fields in the evaporating black-hole background with an internal global monopole. The radial part of all the field equations combine into a generalized Teukolsky-type master equation with sources. The spectrum of Hawking radiation is obtained, which is obviously dependent on the spin state. This effect originates from the quantum ergosphere of the black hole

[en] The rotational transformation between the Schwarzschild metric and the Kerr metric is obtained for weak field at large distance. The transformation on the equatorial plane is discussed in detail and the rotational time dilation is derived

[en] As discovered by recent quasi-static and dynamic resonance experiments, the classical nonlinear theory fails in describing the hysteretic behaviour of nonlinear mesoscopic materials like rocks, concrete, etc. The paper applies the local interaction simulation approach (LISA) for studying such kind of nonclassical nonlinearity. To this purpose, in the LISA treatment of ultrasonic wave propagation has been included a phenomenological model, based on the PM space approach, of the local mesoscopic features of rocks and other materials with localized damages. A quantitative comparison of simulation and experimental results in quasi-static experiments is also presented

[en] For quantum-mechanical system an entropy-like quantity S_q is defined. S_q can differ from the usually defined entropy S and S_q may increase with time for an isolated system. The essential condition for the difference between S and S_q is the assumption that the set A of observables which can be represented by a measurement is a proper subset of the set of self-adjoint operators. The underlying idea is made visible in the case of particle systems with non-trivial scattering. The model character of the reasoning comes from the fact that continuous spectra are replaced by point spectra. So it seems evident that no direct connection exists between S_q and the Sinai-Kolmogorov entropy at least in this model with pure point spectra

[en] An exact solution is obtained for a thick, non-static domain wall in higher-dimensional spacetime. The spacetime is nonsingular both in its spatial and temporal behaviour and encouraging to point out that as time evolves the extra dimension exhibits the desirable feature of dimensional reduction. Further, unlike the case of Goetz, the gravitational field of the wall is attractive. It is also found that there exists no particle horizon in this case

[en] The paper presents general considerations on the interplay between free-electron laser dynamics and storage ring instabilities of microwave type. It develops a dynamical model capable of including the laser and the instability dynamics. The conditions ensuring the switch off of the instability dynamics and the successful operation of the laser are considered

[en] The scalar field equation is reconsidered in the context of the Schwarzschild space-time. The solution is studied in the standard metric case by applying the usual separation method. The radial equation is interpreted, on general grounds, as an eigenvalue problem with associated scalar product. The difference is pointed out between that scalar product and the product induced on the radial solutions by the conserved current associated to the field equation. The explicit form of series solutions existing in the literature as well as the one proposed in the paper do not enable to solve the corresponding orthogonalization problem. The main properties of the solutions can however be obtained by transforming the radial equation into a wave equation with real potential. The structure of the potential function allows the discussion of some quantitative features of the motion of the particle