The long-time asymptotics is derived for solutions of the discrete 3dimensional Schrödinger and Klein–Gordon equations. §

The main purpose of this paper is to investigate the existence and orbital stability of a two–parameter family of periodic waves related to the Klein-Gordon-Schrödinger system with Yukawa interaction. The existence of periodic waves is deduced from the Implicit Function Theorem and the orbital stability is obtained from arguments due to Benjamin&Bona&Weinstein.

This paper describes two exercises designed to investigate the factors affecting the demand for undergraduate educational provision in the field of information and library studies (ILS). The first was a survey of former and current students of the School of Information and Media at The Robert Gordon University in Aberdeen, which examined why they had chosen to undertake an undergraduate course ...

We continue the program, presented in previous Symposia, of discretizing physical models. In particular we calculate the integral Lorentz transformations with the help of discrete reflection groups, and use them for the covariance of Klein-Gordon and Dirac wave equation on the lattice. Finally we define the unitary representation of Poincaré group on discrete momentum and configuration space, i...

We consider the optimality of various institutional arrangements for agencies that conduct macro-prudential regulation and monetary policy. When a central bank is in charge of price and financial stability, a new time inconsistency problem may arise. Ex-ante, the central bank chooses the socially optimal level of inflation. Ex-post, however, the central bank chooses inflation above the social o...

a UK Catalysis Hub, Research Complex at Harwell, Rutherford Appleton Laboratory, Didcot, OX11 0FA, UK b University College London, Kathleen Lonsdale Materials Chemistry, 20 Gordon Street, London WC1H 0AJ, UK c Diamond Light Source Ltd., Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0DE, UK d Cardiff Catalysis Institute, School of Chemistry, Cardiff University, C...

We solve the Klein-Gordon equation in the presence of a spatially one-dimensional cusp potential. The bound state solutions are derived and the antiparticle bound state is discussed.

Zdravko Prkacin1, Gunnar S. Bali∗,2, Thomas Düssel3, Thomas Lippert1,3, Hartmut Neff4 and Klaus Schilling2 1Fachbereich Physik, Bergische Universität Wuppertal D-42097 Wuppertal, Germany 2Dept. of Physics and Astronomy, The University of Glasgow Glasgow G12 8QQ, UK 3Zentralinst. f. Angewandte Mathematik, Forschungszentrum Jülich D-52425 Jülich, Germany 4CCS, Chemistry Dept., Univ. College Londo...

In this paper we discuss a simple and general model for evaluating optimal investment level in information security proposed by Gordon and Loeb [5]. The authors leave an open question, whether there exists some universal upper limit for the level of optimal security investments compared to the total cost of the protected information set. They also conjecture that if such a level exists, it coul...

The purpose of this paper is to develop the negative order MKdV hierarchy and to present a new related integrable Neumann-like Hamiltonian flow from the view point of inverse recursion operator and constraint method. The whole MKdV hierarchy both positive and negative is generated by the kernel elements of Lenard’s operators pair and recursion operator. Through solving a key operator equation, ...