[en] Published in summary form only

[en] The results of photographic positional observations of the 39 Laetitia, 14 Gallia and 1301 Yvone selected minor planets are given. The observations have been performed by means of the Abastumani Astrophysical Observatory 70 cm meniscus telescope. The coordinates and proper motions of the reference stars have been taken from the AGK3

[en] Experiment shows that a certain number of ratios built up upon the fundamental constants (e,m, the charge and the mass of electron resp.; ℎ the quantum constant; k the Boltzmann constant; M, the proton mass) have practically remained constant since 10¹⁰ years. The limits of past variability obtained for these ratios do not exclude variations for the constants themselves. Assuming that the stability of an atom arises from the balance between the radiated energy and that absorbed arising from the other systems which constitute the universe, the connection with the cosmological models shows that ℎ would decrease as the curvature radius R of the universe increases. The present rate of variation of ℎ would be approximately equal to 10^-10 year^-1

No abstract available

[en] The question of whether the Einstein shift in clock rates has a bearing on the validity of the fourth Heisenberg uncertainty relation is discussed. It is shown that, even if one would accept all the relevant assumptions and conclusions of Bohr and Rosenfeld, this uncertainty relation could not be saved by an Einstein shift in the case of an electrostatic weighing. This means that the Einstein shift does not play any role in determining the validity of the fourth Heisenberg relation

[en] Reasons for suspecting that fundamental constants might change with time are reviewed. Possible consequences of such variations are examined. The present status of experimental tests of these ideas is discussed

[en] Experiment shows that a certain number of ratios built up upon the fundamental constants (e, m, the charge and the mass of electron resp.; ℎ, the quantum constant; k the Boltzmann constant; M, the proton mass) have practically remained constant since 10¹⁰ years. The limits of past variability obtained for these ratios do not exclude variations for the constants themselves. It is sufficient that ℎ α e² α m α k. Assuming that the stability of an atom arises from the balance between the radiated energy and that absorbed arising from the other systems which constitute the universe, the connection with the cosmological models shows that ℎ would decrease as the curvature radius R of the universe increases. The present rate of variation of ℎ would be approximately equal to 10^-10 year^-1

[en] We present an exact relationship between the entropy production and the distinguishability of a process from its time-reverse, quantified by the relative entropy between forward and backward states. The relationship is shown to remain valid for a wide family of initial conditions, such as canonical, constrained canonical, multi-canonical and grand canonical distributions, as well as both for classical and quantum systems.

[en] A general treatment of the quantal harmonic oscillator with time-dependent mass and frequency is presented. The treatment is based on the use of some time-dependent transformations in the method of invariants of Lewis and Riesenfeld. Exact coherent states for such a system are also constructed. (A.C.A.S.)

No abstract available