We use a factorisation technique and representations of canonical transformations to construct globally valid closed form expressions without singularities of semi-classical wave functions for arbitrary smooth local potentials over a one-dimensional position space.

We investigate the momentum space representation of the solutions of a particle in a three-dimensional box. By comparing the calculated momentum densities of a particle in a box with the measured distribution of highly symmetric molecules we want to elucidate the nature of the measured orbitals. Finally the measured momentum distribution of a free electron metal is compared with the results of ...

Evaluating two-loop integrals in the transverse momentum space we obtain the trajectory of the Reggeized gluon in QCD in an explicit form in the two-loop approximation. It is presented as an expansion in powers of (D − 4) for the space-time dimension D tending to the physical value D = 4. As the result of a remarkable cancellation the third order pole in D − 4 disappears in the trajectory and t...

We study damped hyperbolic equations on the infinite line. We show that on the global attracting set G the ε-entropy (per unit length) exists in the topology of W 1,∞. We also show that the topological entropy per unit length of G exists. These results are shown using two main techniques: Bounds in bounded domains in position space and for large momenta, and a novel submultiplicativity argument...

A full analytic calculation of the two-loop diagrams contributing to the static potential in QCD is presented in detail. Using a renormal-ization group improvement, the \three-loop" potential in momentum space is thus derived and the third coeecient of the-function for the V-scheme is given. The Fourier transformation to position space is then performed, and the result is brieey discussed.

What happens to the uncertainity relations along the process of gravitational collapses ? What is the position-space wave function of two finite volume massive bosons if we take contact interaction into account? What is the microscopic explanation in terms of particle exchanges of the force in the Casimir effect?

A new approach to quantum Markov processes is developed and the corresponding Fokker-Planck-like equation is derived. The latter was examined to reproduce known results from classical and quantum physics. It was also applied to the phase-space description of a mechanical system thus leading to a new treatment of this problem different from the Wigner presentation. The equilibrium probability de...

 ABSTRACT Background: Aspirin even at low dose ( 100 mg) can increase the risk of upper gastrointestinal bleeding. It is usual to use low dose aspirin for cardiovascular prophylaxis. We hypothesized that Helicobacter pylori eradication is as effective as omeprazole maintenance therapy for secondary prevention of bleeding in those who take low dose aspirin and are positive for Helicobacter pylor...