We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in R3: ∂ttu− ∆u + m ∑ j=1 Vj (x− ~vjt)u = 0. The energy estimate and the local energy decay of a scattering state are also established. In order to study nonlinear multisoltion systems, we will present the inhomogeneous generalizations of Strichartz estimates ...

Coherent wave propagation in disordered media gives rise to many fascinating phenomena as diverse as universal conductance fluctuations in mesoscopic metals and speckle patterns in light scattering. Here, the theory of electromagnetic wave propagation in diffusive media is combined with information theory to show how interference affects the information transmission rate between antenna arrays....

We study the temperature dependence of the Josephson critical current for diierent symmetries of the superconducting state. We generalize Zaitsev's model for a smooth interface to include diiuse scattering of quasiparticles at the boundary. For d-wave symmetry, we nd strong deviations from the Ambegaokar-Baratoo (AB) formula for SIS junctions. Similar results are obtained for s-wave superconduc...

We analyze low-energy scattering of positrons on Ar atoms and N2 molecules using Modified Effective-Range Theory (MERT) developped by O’Malley, Spruch and Rosenberg [Journal of Math. Phys. 2, 491 (1961)]. We use formulation of MERT based on exact solutions of Schrödinger equation with polarization potential rather than low-energy expansions of phase shifts into momentum series. We show that MER...

Abstract. We give an overview for spectral analysis of non-self adjoint operators from a mathematical standpoints. Among other things, we concentrate our considerations on operators that appeared for Schrödinger and wave equations. To these examples, we describe some results of the relation between spectral structure of generator and asymptotic behavior of solutions (energy decay and scattering...

Szöke's concept for electron holography is hampered by forward scattering that dominates electron diffraction from electron point sources below the surface top layer. Forward scattering was proposed to be suppressed if the anisotropic nature of the electron source wave is exploited [T. Greber and J. Osterwalder, Chem. Phys. Lett. 256, 653 (1996)]. Experiments show a strong suppression of forwar...

Abstract. We compare inviscid stability conditions obtained by Lewicka for large-amplitude shock wave patterns with “slow eigenvalue”, or low-frequency, stability conditions obtained by Lin and Schecter through a vanishing viscosity analysis of the Dafermos regularization. Under the structural condition that scattering coefficients for each component wave are positive, we show that BV and L inv...

In optical experiments one-sided reflectionless (ORL) and coherent perfect absorption (CPA) are unusual scattering properties yet fascinating for their fundamental aspects and for their practical interest. Although these two concepts have so far remained separated from each other, we prove that the two phenomena are indeed strictly connected. We show that a CPA-ORL connection exists between pai...

A high-power linearly polarized laser propagating through a plasma produces oscillatory electron velocity at the second harmonic due to the v x B force. This velocity couples a Langmuir wave (ui,k) and an electromagnetic wave (wi,fci), where w\ = LO 2u0 , fei = k — 2kQ and u>0, k0 are frequency and wavenumber of the laser pump, causing second harmonic Raman scattering. The growth rate is maximu...

The goals of this project are to utilize shipborne remote sensing to understand the scattering and attenuation process of ocean waves interacting with ice. A dedicated nautical X-band radar on a vessel would be used to follow the propagation of waves into the marginal ice zone (MIZ) and observe the attenuation and scattering of wave modes from the floating ice as well as estimate surface wind a...