ua nt - p h / 02 10 13 3 v 1 1 8 O ct 2 00 2 A dressing of zero - range potentials and electron - molecule scattering problem at low energies

ua nt - p h / 04 10 05 5 v 1 7 O ct 2 00 4 A dressing of zero - range potentials and electron - molecule scattering problem at Ramsauer - Townsend minimum

A dressing technique is used to improve zero range potential (ZRP) model. We consider a Darboux transformation starting with a ZRP, the result of the " dressing " gives a potential with non-zero range that depends on a seed solution parameters. Concepts of the partial waves and partial phases for non-spherical potential are used in order to perform Darboux transformation. The problem of scatter...

ua nt - p h / 02 07 13 2 v 1 2 3 Ju l 2 00 2 PT - invariant one - dimensional Coulomb problem

The one-dimensional Coulomb-like potential with a real coupling constant β, and a centrifugal-like core of strength G = α − 1 4 , viz., V (x) = α− 1 4 (x−ic) + β |x−ic| , is discussed in the framework of PT -symmetry. The PT -invariant exactly solvable model so formed, is found to admit a double set of real and discrete energies, numbered by a quasi-parity q = ±1. ———————————————————– ————————————

ar X iv : q ua nt - p h / 02 10 17 3 v 1 2 5 O ct 2 00 2 Casimir effect and vacuum energy

Vacuum fluctuations have observable consequences, like the Casimir force appearing between two mirrors in vacuum. This force is now measured with good accuracy and agreement with theory. We discuss the meaning and consequences of these statements by emphasizing their relation with the problem of vacuum energy, one of the main unsolved problems at the interface between gravitational and

ua nt - p h / 02 07 00 6 v 1 1 J ul 2 00 2 DURABLE ENTANGLEMENT IN ATOMIC SYSTEMS

We discuss the generation and monitoring of durable atomic entangled state via Raman-type process, which can be used in the quantum information processing .

ua nt - p h / 01 01 02 8 v 1 5 J an 2 00 1 QUANTUM LOGICS