We derive new cosmological solutions of the Brans–Dicke theory of gravitation. We consider some magnetic Bianchi type-I models both in the vacuum as well as in the stiff matter case. It is shown that the primordial magnetic field can alter the character of the initial singularity. The BDT-scalar field determines the behaviour of the given solutions in a somewhat more complicated form.
We investigate the Brans–Dicke–Bianchi type-VI\(_h\) \((n^{\alpha }_{\alpha } = 0\), \(h \neq 0\), \(-1/9)\) field equations. We present the general vacuum solutions as well as the general stiff matter solution. In addition we derive some special BDT-dust solutions and some special perfect fluid solutions with \(1 \leq \gamma \lt 2\).
A method for searches for neutrino masses via the detection of neutrino oscillations is discussed. The experiment in progress at LAMPF meson facility at Los Alamos, E-645, is described.
We examine the quantum mechanics of an isospinor scalar in the background of a one parameter family of solutions of SU(2) Yang–Mills–Higgs system. The Hamiltonian is self-adjoint if one imposes ordinary boundary conditions at the origin. The exact solution is presented for the asymptotic singular monopole when the electric charge is conserved. There exist bound states with an extra degeneration indicating a dynamical symmetry.
A method of calculating energy levels of heavy quarkonium interacting with vacuum gluon fields is described and tested on a simple, exactly solvable, quantum-mechanical model, which was originally proposed by Zalewski to illustrate some features of the theory of heavy quarkonia. Inferences relevant for calculations of toponium properties are drawn from model results.
The point of view is presented that, while the mathematical method used by the ITEP group (SVZ) is very nice, the purely phenomenological model for the gluon condensate, which they use in order to calculate the nonperturbative contributions, is open to doubt. It is suggested that fine splittings in the spectra of heavy quarkonia provide crucial tests for this phenomenology. Present data cast some doubt on the validity of the model, but a deeper analysis and/or data for toponia are necessary, in order to draw final conclusions.