Tau Functions for the Dirac Operator on the Cylinder

Thanks to the de BROGLIE wave, we have learned to relate the kinematic properties of a point particle to the exact solutions of the DIRAC equation which express the

In Section 2 we make the necessary computations concerning the Riemannian structure on the frame manifold and its two-fold covering P\ In Section 3 we relate the index density of

Key words : Nonlinear Dirac equations, nonrelativistic limit, Schrödinger

In fact we would like to stress the fact that the conjugate operator method allows us to prove absence of singularly continuous spectrum, existence and completeness

We extend the Friedrich inequality for the eigenvalues of the Dirac operator on Spin c manifolds with boundary under different boundary conditions.. The limiting case is then

In this work, symbolic dynamics and associated techniques of substitutions are exploited to investigate the structure of standing wave patterns arising in the HypNLS equation..

In this paper, we generalize the inequality (1) for untrapped surfaces in initial data sets of the Einstein equation. From this estimate, we deduce several rigidity results for

of (simply connected) Spin 0 manifolds with parallel spinors [23] allow us to show that every Spin 0 structure carrying Kahlerian Killing spinors (of special algebraic form) has to