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

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

A dressing of a nonspherical potential, which includes n zero range potentials, is considered. The dressing technique is used to improve ZRP model. Concepts of the partial waves and partial phases for non-spherical potential are used in order to perform Darboux transformation. The problem of scattering on the regular X n and YX n structures is studied. The possibilities of dressed ZRP are illus...

ar X iv : q ua nt - p h / 05 10 22 4 v 1 28 O ct 2 00 5 ON QUANTUM LYAPUNOV EXPONENTS

It was shown that quantum analysis constitutes the proper analytic basis for quantization of Lyapunov exponents in the Heisenberg picture. Differences among various quantizations of Lyapunov exponents are clarified.

ar X iv : q ua nt - p h / 04 11 17 2 v 1 2 3 N ov 2 00 4 Information and Entropy in Quantum Theory

ar X iv : q ua nt - p h / 01 10 10 4 v 1 1 7 O ct 2 00 1 Superoscillations and tunneling times

It is proposed that superoscillations play an important role in the interferences which give rise to superluminal effects. To exemplify that, we consider a toy model which allows for a wave packet to travel, in zero time and negligible distortion a distance arbitrarily larger than the width of the wave packet. The peak is shown to result from a superoscillatory superposition at the tail. Simila...

ua nt - p h / 05 03 04 1 v 1 3 M ar 2 00 5 Differential geometry of density states

We consider a geometrization, i.e., we identify geometrical structures, for the space of density states of a quantum system. We also provide few comments on a possible application of this geometrization for composite systems.