ua nt - p h / 95 06 03 6 v 1 2 2 Ju n 19 95 RU 9544 Atom in a q - Analog Harmonic Oscillator Trap

ua nt - p h / 03 06 19 6 v 1 2 9 Ju n 20 03 On Shor ’ s channel extension and constrained channels

ua nt - p h / 05 06 17 9 v 1 2 1 Ju n 20 05 Velocity quantization approach of the one - dimensional dissipative harmonic oscillator

Given a constant of motion for the one-dimensional harmonic oscillator with linear dissipation in the velocity, the problem to get the Hamiltonian for this system is pointed out, and the quantization up to second order in the perturbation approach is used to determine the modification on the eigenvalues when dissipation is taken into consideration. This quantization is realized using the consta...

ar X iv : q ua nt - p h / 06 03 00 8 v 2 2 1 Ju n 20 06 ON POSITIVE DECOMPOSABLE MAPS

A partial characterization (a necessary condition for decompos-ability and a criterion for nondecomposability) of decomposable positive maps is given. Furthermore, a clarification of the structure of the set of positive maps is provided.

ua nt - p h / 98 06 03 6 v 1 1 1 Ju n 19 98 Causality , particle localization and positivity of the energy

Positivity of the Hamiltonian alone is used to show that particles, if initially localized in a finite region, immediately develop infinite tails.

ua nt - p h / 03 03 12 0 v 1 1 9 M ar 2 00 3 Maths - type q - deformed coherent states for q > 1

Maths-type q-deformed coherent states with q > 1 allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated with a harmonic oscillator with minimal uncertainties in both position and momentum and are intelligent coherent states for the corresponding deformed Heisenberg algebra.