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Aharonov-Bohm effect on the Poincaré disk
Get PDFWe consider formal quantum Hamiltonian of a charged particle on the Poincaré disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this Hamiltonian admits a four-parameter family of self-adjoint extensions. Its resolvent and the density of states are calculated for natural values of the extension parameters
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry
Get PDFUsing the Bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ring. Developing a method of summation over the roots of Bethe equations based on the multidimensional analogue of the Cauchy residue theorem, we construct the resolution of the identity operator, which allows us to calculate the matrix elements of the evolution operator and its powers. Representation of results in the form of an infinite series elucidates connection to other results obtained for the ring geometry. As a byproduct we also obtain the generating function of the joint probability distribution of particle configurations and the total distance traveled by the particles
The Irish of Iorras Aithneach, County Galway; Volume III
Get PDFThis grammar is based on extensive fieldwork, published and unpublished lore, and recent as well as older recordings, particularly those held in the archives of Roinn Bhéaloideas Éireann and Raidió na Gaeltachta. These sources provide a picture of extensive variation and change across the six generations born between 1850 and 2000. The grammar draws on several branches of linguistics: descriptive and historical linguistics, dialectology and sociolinguistics. It is the most comprehensive treatment of any variety of Irish.
Volume III contains chapters on prepositions, functors, initial mutations, higher register, borrowings and language contact, and onomastics
Finite-Time Current Probabilities in the Asymmetric Exclusion Process on a Ring
Get PDFWe calculate the time-dependent probability distribution of cur-rent through a selected bond in the totally asymmetric exclusion pro-cess with periodic boundary conditions. We derive a general formula for the probability that the integrated current exceeds a given value N at the moment of time t. The formula is written in a form of a contour integral of a determinant of a Toeplitz matrix. Transforming the determinant expression, we obtain a generalization of the known formula derived by Johansson for the infinite one-dimensional lattice. To check the general formula, we consider the specific case corresponding to the probability of a minimal non-zero current. For this case we get an explicit analytical expression and analyze its asymptotics
Entanglement Assisted Classical Capacity for a Class of Quantum Channels with Long-Term Memory
Get PDFIn this paper we evaluate the entanglement assisted classical capacity of a class of quantum channels with long-term memory, which are convex combinations of memoryless channels. The memory of such channels can be considered to be given by a Markov chain which is aperiodic but not irreducible. This class of channels was introduced in [7] and its product state capacity was evaluated
Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions
Get PDFWe discuss several different classes of selfdual Yang-Mills instantons in the backgrounds d = 4p dimensional spacetimes with Euclidean signature. One class of solutions are time-independent and spherically symmetric in d − 1 dimensions, and the other class are spherically symmetric in all d dimensions. Some the solutions in the former class are evaluated numerically, all the rest being given in closed form. An analytic proof of existence covering all numerically evaluated solutions is given. All instantons studied have finite action and vanishing energy momentum tensor and do not disturb the geometry
The Irish of Iorras Aithneach, County Galway; Volume II
Get PDFThis grammar is based on extensive fieldwork, published and unpublished lore, and recent as well as older recordings, particularly those held in the archives of Roinn Bhéaloideas Éireann and Raidió na Gaeltachta. These sources provide a picture of extensive variation and change across the six generations born between 1850 and 2000. The grammar draws on several branches of linguistics: descriptive and historical linguistics, dialectology and sociolinguistics. It is the most comprehensive treatment of any variety of Irish.
Volume II describes plural noun morphology, the verb and pronominals
