Exact probabilities and asymptotics for the one-dimensional coalescing ideal gas

AbstractWe consider a modification of the well-known system of coalescing random walks in one dimension, both in discrete and continuous time. In our models each particle moves with unit speed, and it can change its direction of movement only at times of collisions with other particles. At these times (and at time 0) the direction is chosen randomly, with equal probability to the left or to the right, independently of anything else. In this article, we exhibit the exact distributions of particle density and of other relevant quantities at finite time t, and their asymptotics as t → ∞. In particular, it appears that the density of particles at time t is equal to the probability of the event that a simple random walk starting at site one first hits the origin after time t It is noteworthy that a relation of the same kind is known to hold for the standard system of coalescing random walks in one dimension, though the proof is quite different in that case

Modern technologies of communication and management skills formation in the innovative and entrepreneurial activity

Проанализированы основные аспекты понятия «мягкие» навыки и влияние компетенций на успешность в сфере инновационного предпринимательства. Рассматривается процедура формирования соответствующих навыков в процессе работы с молодежью в рамках деятельности бизнес-инкубатора и в процессе интеллектуального творчества.The main aspects of the «soft» skills concept and influence of communication and managerial competences on success in the sphere of innovative entrepreneurship were analyzed. The procedure of forming of the corresponding «soft» skills in the course of work with youth within activities of a student’s business incubator and in the course of intellectual creativity is considered

Peculiarities of gamma-quanta distribution at 20 TeV energy

The angular distribution of protons from the fragmentational region is analyzed. The gamma-quanta families are generated in a dense target by cosmic ray particles at 20 Tev energy. Families were found which had dense groups (spikes) of gamma-quanta where the rapidity/density is 3 times more than the average value determined for all registered families. The experimental data is compared with the results of artificial families simulation

Multiqubit Spin

It is proposed that the state space of a quantum object with a complicated discrete spectrum can be used as a basis for multiqubit recording and processing of information in a quantum computer. As an example, nuclear spin 3/2 is considered. The possibilities of writing and reading two quantum bits of information, preparation of the initial state, implementation of the "rotation" and "controlled negation" operations, which are sufficient for constructing any algorithms, are demonstrated.Comment: 7 pages, PostScript, no figures; translation of Pis'ma Zh. Eksp. Teor. Fiz. 70, No. 1, pp. 59-63, 10 July 1999; (Submitted 29 April 1999; resubmitted 2 June 1999

Презентация по физике — одна из форм активизации научно-познавательной деятельности студентов младших курсов инженерно-технических специальностей.

This report discusses how the presentation on the physics as a kind of electronic educational resource can be a form of enhancing scientific and cognitive activity undergraduate students of engineering specialties.В докладе обсуждается вопрос о том, как презентация по физике из вида электронных образовательных ресурсов может стать одной из форм активизации научно-познавательной деятельности студентов младших курсов инженерно-технических специальностей

Three-Qubit Gate Realization Using Single Quantum Particle

Using virtual spin formalism it is shown that a quantum particle with eight energy levels can store three qubits. The formalism allows to realize a universal set of quantum gates. Feasible formalism implementation is suggested which uses nuclear spin-7/2 as a storage medium and radio frequency pulses as the gates. One pulse realization of all universal gates has been found, including three-qubit Toffoli gate.Comment: LaTeX, 6 pages, no figures; Submitted to "Pis'ma v Zh. Eksp. Teor. Fiz.