A bstract We constructed a symplectic realization of the dynamic structure two interacting spin-two fields in three dimensions. significant simplification refers to treatment constraints: instead performing Hamiltonian analysis à la Dirac, we worked out method that only uses properties pre-symplectic two-form matrix and its corresponding zero-modes investigate nature constraints gauge theory. F...

In the treatment of cancer using high energetic radiation the problem arises how to irradiate the tumor without damaging the healthy tissue in the immediate vicinity. In order to do this as efficiently as possible intensity modulated radiation therapy (IMRT) is used. A modern way to modulate the homogeneous radiation field delivered by an external accelerator is to use a multileaf collimator in...

We use the method of Scholz and Reichardt and a transfer principle from finite fields to pseudo finite fields in order to prove the following result. Theorem: Let G be a group of order l, where l is a prime number. Let K0 be either a finite field with |K0| > l or a pseudo finite field. Suppose that l 6= char(K0) and that K0 does not contain the root of unity ζl of order l. Let K = K0(t), with t...

In the framework of light-cone gauge approach, bosonic and fermionic mixed-symmetry continuous-spin fields in AdS space flat are considered. For such fields, actions found. Realization relativistic symmetries spaces on is also presented. Simple realization spin operators With respect to vector variable entering for turn out be first-order differential operators, while, space, realized as second...

We present the cluster-type entangled coherent states (CTECS) and discuss their properties. A cavity QED generation scheme using suitable choices of atom-cavity interactions, obtained via detunings adjustments and the application of classical external fields, is also presented. After the realization of simple atomic measurements, CTECS representing nonlocal electromagnetic fields in separate ca...

The quantum evolution of a model of the universe with account of two scalar fields (dilaton and inflaton) is considered. For this case, the closed and flat models has been examined. It is shown that in both cases the realization of conditions necessary for inflation is strongly depends on coupling constant for dilaton and inflaton fields.