New quantal states which interpolate between the coherent states of the Heisenberg-Weyl (W3) and SU(1,1) algebras are introduced. The interpolating states are obtained as the coherent states of a closed and symmetric algebra which interpolates between the W3 and SU(1,1) algebras. The overcompleteness of the interpolating coherent states is established. Differential operator representations in s...

This project applies coherency methods for dynamic analysis of power systems. It has been observed that in case of disturbances machines swing together, forming groups of coherent generators. In [1], a dynamic network reduction is described based on a slow-coherency method, aggregating coherent generators into one equivalent machine. In [2] it is demonstrated that such methods can also be used ...

We study the timetable conflict graphs produced by an artificial generator of student enrollments. We find correlations of their chromatic number with their density and clustering coefficient. The work gives evidence that the clustering coefficient is a useful measure of a graph.

Schrödinger-Robertson uncertainty relation is minimized for the quadrature components of Weyl generators of the algebra su(N). This is done by determining explicit Fock-Bargamann representation of the su(N) coherent states and the differential realizations of the elements of su(N). New classes of coherent and squeezed states are explicitly derived. ∗Permanent adress: LPMC, Faculty of Sciences, ...

Using the transformations from paper I, we show that the Schrödinger equations for: (1) systems described by quadratic Hamiltonians, (2) systems with time-varying mass, and (3) time-dependent oscillators, all have isomorphic Lie space-time symmetry algebras. The generators of the symmetry algebras are obtained explicitly for each case and sets of numberoperator states are constructed. The algeb...

This paper presents a new coherency identification method for dynamic reduction of a power system. To achieve dynamic reduction, coherency-based equivalence techniques divide generators into groups according to coherency, and then aggregate them. In order to minimize the changes in the dynamic response of the reduced equivalent system, coherency identification of the generators should be clearl...

k-Component q-deformed charge coherent states are constructed , their (over)completeness proved and their generation explored. The q-deformed charge coherent states and the even (odd) q-deformed charge coherent states are the two special cases of them as k becomes 1 and 2, respectively. A D-algebra realization of the SU q (1,1) generators is given in terms of them. Their nonclassical properties...

k-Component q-deformed charge coherent states are constructed , their (over)completeness proved and their generation explored. The q-deformed charge coherent states and the even (odd) q-deformed charge coherent states are the two special cases of them as k becomes 1 and 2, respectively. A D-algebra realization of the SU q (1,1) generators is given in terms of them. It is shown that for k ≥ 3, t...

Abstract. Coherent unit actions on a binary, quadratic operad were introduced by Loday and were shown by him to give Hopf algebra structures on the free algebras when the operad is also regular with a splitting of associativity. Working with such operads, we characterize coherent unit actions in terms of linear equations of the generators of the operads. We then use these equations to give all ...