We explicitly construct a (unique) Spin(9)×SU(2) singlet state, φ, involving only the fermionic degrees of freedom of the supersymmetric matrix-model corresponding to reduced 10-dimensional super YangMills theory, resp. supermembranes in 11-dimensional Minkowski space. Any non-singular wavefunction annihilated by the 16 supercharges of SU(2) matrix theory must, at the origin (where it is assume...

In this paper, we consider non-linear Ginsburg-Pitaevski-Gross equation with the Rosen-Morse and modifiedWoods-Saxon potentials which is corresponding to the quantum vortices and has important applications in turbulence theory. We use the Runge- Kutta-Fehlberg approximation method to solve the resulting non-linear equation.    

C. OGLE Department of Mathematics, Ohio State University, Columbus, 0H43210, U.S.A. (Received: March 1992) Abstraet. Following Connes and Moscovici, we show that the Baum-Connes assembly map for K,(C~*n) is rationally injective when n is word-hyperbolic, implying the Equivariant Novikov conjecture for such groups. Using this result in topological K-theory and BoreI-Karoubi regulators, we also s...

by: Louis Crane, mathematics department,KSU presented to the conference on knot theory and quantum gravity Riverside California Abstract: Motivated by the similarity between CSW theory and the Chern Simons state for General Relativity in the Ashtekar variables, we explore what a universe would look like if it were in a state corresponding to a 3D TQFT. We end up with a construction of propagati...

We present an approach to the transformation of state machines from a restricted subclass of equational theories into rewrite theories, and show the transformation preserves invariant properties. Invariantpreservation of the transformation guarantees that a counterexample that is found to an invariant by model checking a generated rewrite theory is also the counterexample to the corresponding i...

We analyze Susskind’s proposal of applying the non-commutative Chern-Simons theory to the quantum Hall effect. We study the corresponding regularized matrix model, the matrix Chern-Simons theory introduced by Polychronakos. Earlier analyses of this theory found several features that are expected in the quantum Hall effect but also raised some doubts. We show that the matrix theory exactly descr...

In this paper principles of extended Kalman filtering theory is developed and applied to simulated on-line electric power systems state estimation in order to trace the operating condition changes through the redundant and noisy measurements. Test results on IEEE 14 - bus test system are included. Three case systems are tried; through the comparing of their results, it is concluded that the pro...