abstract

The hydrogen atom is considered at the level of traditional quantum mechanics. Starting from a two-component Hamilton operator describing the atomic electron in the presence of an external gravitational field we are evaluating explicit expressions for the perturbations (i.e. splitting) of the energy levels. We restrict our considerations to geodesics on which \(\theta = \pi /2\) and to “conical spiral” trajectories. It is shown that the perturbations can reach observable values for a sufficiently high initial velocity at infinity.

abstract

The hypothesis is justified that the gravitational field does not carry energy like the electromagnetic field transferring the interaction between the electric charges does not carry charge. It is shown that the pseudotensor approach is inapplicable to the problem of localization of the energy-momentum characteristics of the gravitational field. The results are obtained by embedding the metric tensor describing the gravitation in the affinely connected space. Hence, it is evident that the formal field approach to the General Relativity is invalid for the gravitational energy-momentum problem.

abstract

Systematic analysis of classical trajectories of a point-like analogue of the smooth string is presented. It is shown that the point-like analogue contains tachyons on the classical level.

abstract

Data on pn multiplicity distributions extracted from pd interactions at 400 GeV/\(c\) have been analysed with respect to their scaling behaviour. Results are compared with pa distributions derived from other pd experiments in the energy range 100–400 GeV. The consequence of the observations on the semi-inclusive scaling hypothesis and Mueller–Regge approach is discussed.

abstract

The micro- and grand-canonical partition functions for a system of spins on a dynamical two-dimensional random spherical surface with a coordination number 3 restricted to the set of lattices without the ‘tadpole’ and ‘self-energy’ insertions is calculated. The critical properties are shown to be the same as in the case of the unrestricted set of the \(\phi ^3\) lattices.

abstract

We give a formula for the distribution of the total energy of hadrons from a semileptonic decays of a heavy quark. The effects of \(W\)-propagator, a non-zero mass of the quark in the final state, and \(O(\alpha _s)\) QCD correction are incorporated.

abstract

We study the fate of outer layers of a dense star which underwent transition to a strange star. “Burning” occurring while the star is hot can significantly reduce the amount of material covering quark matter interior. Crust of the resulting strange star can be much thinner than the outer crust of a neutron star, but obtaining a bare strange star in this way is not possible.