Cluster quantum computer on the basis of quasi-part

The present paper deals with the possibility of creation of the quantum computer in which the role of q-bits is played by quasi-particles. In such a computer, the elementary computation block should represent a cluster created on the basis of the paramagnetic molecules. The latter form heterogeneous spin states in the cluster owing to the presence of interelectron correlations.Comment: 4 page

Lecture Course “Modern Physics”

In the paper, the structure of the lecture course “Modern Physics” is described in detail. The course is based on a logical presentation of modern ideas about quantum-, atomic-, nuclear-, and molecular physics as well as astrophysics. A special attention is paid to a relatively new interdisciplinary research field, namely the physics of open systems, and to the study of clusters as one of the most promising scientific areas. Separate chapters of the textbook are devoted to nonlinear optics, quantum information, structure and dynamics of molecules. The fundamental laws and concepts of modern physics, their relationship and origin are comprehensively discussed. It is underlined that this lecture course is intended, first of all, for students of technical universities, postgraduate students of relevant specialties, as well as professors of vocation-related subjects. The inclusion of new sections of physics in the curricula of universities is rationalized, in particular, by the fact that physics is closely related to engineering. Due to this fact, the important role that physics plays in society becomes especially evident. The paper may also be of interest to those who are fond of physics and its state-of-the art

The Path Integral Quantization And The Construction Of The S-matrix In The Abelian And Non-Abelian Chern-Simons Theories

The cvariant path integral quantization of the theory of the scalar and spinor particles interacting through the abelian and non-Abelian Chern-Simons gauge fields is carried out and is shown to be mathematically ill defined due to the absence of the transverse components of these gauge fields. This is remedied by the introduction of the Maxwell or the Maxwell-type (in the non-Abelian case)term which makes the theory superrenormalizable and guarantees its gauge-invariant regularization and renormalization. The generating functionals are constructed and shown to be formally the same as those of QED (or QCD) in 2+1 dimensions with the substitution of the Chern-Simons propagator for the photon (gluon) propagator. By constructing the propagator in the general case, the existence of two limits; pure Chern-Simons and QED (QCD) after renormalization is demonstrated. By carrying out carefully the path integral quantization of the non-Abelian Chern-Simons theories using the De Witt-Fadeev-Popov and the Batalin-Fradkin- Vilkovisky methods it is demonstrated that there is no need to quantize the dimensionless charge of the theory. The main reason is that the action in the exponent of the path integral is BRST-invariant which acquires a zero winding number and guarantees the BRST renormalizability of the model. The S-matrix operator is constructed, and starting from this S-matrix operator novel topological unitarity identities are derived that demand the vanishing of the gauge-invariant sum of the imaginary parts of the Feynman diagrams with a given number of intermediate on-shell topological photon lines in each order of perturbation theory. These identities are illustrated by an explicit example.Comment: LaTex file, 31 pages, two figure