Microscopic description of irreversibility in quantum Lorentz gas by complex spectral analysis of the Liouvillian outside the Hilbert space.

Irreversible process of a weakly coupled one-dimensional quantum perfect Lorentz gas is studied on the basis of the fundamental laws of physics in terms of the complex spectral analysis associated with the resonance state of the Liouvillian. Without any phenomenological operations, such as a coarse-graining of space-time or a truncation of the higher order correlation, we obtained irreversible processes on a purely dynamical basis in all space and time scale including the microscopic atomic interaction range that is much smaller than the mean-free-length. The list of development of the complex spectral analysis of the Hamiltonian (instead of the Liouvillian) in quantum optical systems and in quantum nano-devices is also presented.

Microscopic description of quantum Lorentz gas and extension of the Boltzmann equation to entire space-time scale.

Irreversible processes of weakly coupled one-dimensional quantum perfect Lorentz gas are studied on the basis of the fundamental laws of physics in terms of the complex spectral analysis associated with the resonance state of the Liouville-von Neumann operator. Without any phenomenological operations, such as a coarse-graining of space-time, or a truncation of the higher order correlation, we obtained irreversible processes in a purely dynamical basis in all space and time scale including the microscopic atomic interaction range that is much smaller than the mean-free length. Based on this solution, a limitation of the usual phenomenological Boltzmann equation, as well as an extension of the Boltzmann equation to entire space-time scale, is discussed.

Strongly coupled matter field and nonanalytic decay rate of dipole molecules in a waveguide.

The decay rate gamma of an excited dipole molecule inside a waveguide is evaluated for the strongly coupled matter-field case near a cutoff frequency omegac without using perturbation analysis. Because of the singularity in the density of photon states at the cutoff frequency, we find that gamma depends nonanalytically on the coupling constant g as g4/3, which leads to a vast increase in the decay rate.

Chaotic scattering and the magneto-Coulomb map.

A nonrelativistic classical electron scattering by a fixed ion in a uniform magnetic field is discussed. The system is nonintegrable, and there is chaotic scattering for a certain class of initial conditions. A two-dimensional discrete map is derived from the equation of motion. Our map exhibits four different types of motion by changing the parameters which characterize the initial condition. The fractal structure for certain observables is obtained. The width of the chaotic scattering region in the impact parameter is estimated numerically. We suggest a certain class of plasma environments where the chaotic scattering may have an important role.

Quantum decoherence, Zeno process, and time symmetry breaking.

The complex spectral representation of the Liouville-von Neumann operator outside Hilbert space is applied to the decoherence problem in quantum Brownian motion. In contrast to the path-integral method, often used in the context of quantum decoherence for the case where the environment surrounding the Brownian particle (subsystem) is in thermal equilibrium, our spectral representation is applicable to systems far from equilibrium, including a pure state for the surrounding bath. Starting with this pure initial condition, the subsystem evolves in time obeying a diffusion-type kinetic equation. Hence, the collapse of wave functions is a dynamical phenomenon occurring outside Hilbert space, and is not simply a contamination of the subsystem, a popular view accepted in the so-called "environmental" approach, by the mixed nature of the thermal bath. The essential element in the understanding of quantum decoherence is the "extensivity" of quantities characterizing the thermodynamic limit. Quantum Zeno time is shown to be a lower bound of the decoherence time.

Poincaré resonances and the limits of trajectory dynamics.

In previous papers we have shown that the elimination of the resonance divergences in large Poincare systems leads to complex irreducible spectral representations for the Liouville-von Neumann operator. Complex means that time symmetry is broken and irreducibility means that this representation is implementable only by statistical ensembles and not by trajectories. We consider in this paper classical potential scattering. Our theory applies to persistent scattering. Numerical simulations show quantitative agreement with our predictions.

Studies in red blood cell preservation. 6. Red cell membrane remodeling during rejuvenation.

The purpose of this study was to examine whether vesiculation of RBC plays a significant role in their rejuvenation. Outdated units of Adsol blood, were divided into two aliquots and incubated with equal volumes of a solution of 100 mM pyruvate and inosine, 103 mM phosphate and 5 mM adenine (PIPA) or 0.9% saline. Following 1 h incubation, vesicles were isolated from the supernatants and quantitated for hemoglobin content. Restoration of RBC ATP, 2,3-DPG, morphology, and osmotic fragility after rejuvenation was satisfactory. The postrejuvenation mean corpuscular volumes (88.2 +/- 6.9 fl) were significantly lower (p less than 0.001) than the prerejuvenation (94.6 +/- 6.8 fl) and control (104.0 +/- 7.3 fl) volumes. The hemoglobin shed in vesicles during rejuvenation was significantly greater than in the saline controls (0.44 +/- 0.31 vs. 0.18 +/- 0.10 mg/dl RBCs; p = 0.026). These data suggest that the decreased MCV following rejuvenation is in part due to membrane loss in exocytic vesiculation.

Studies in red blood cell preservation. 5. Determining the limiting concentrations of NH4Cl and Na2HPO4 needed to maintain red blood cell ATP during storage.

The purpose of the present study was to define the lowest concentrations of ammonium (NH4+) and phosphate (Pi) in an experimental additive solution (EAS) that would support suitable red blood cell (RBC) ATP levels and other in vitro characteristics for at least 84 days. It was determined that ATP maintenance was dependent upon both NH4+ and Pi concentrations. RBCs stored for 84 days in additive solutions containing 10 mM NH4+ and 0, 15, 25 and 40 mM Pi had ATP values averaging 1.87, 2.49, 2.70 and 2.65 mumol/g Hb, respectively. The shedding of exocytic hemoglobin-containing vesicles and percent hemolysis were significantly (p less than 0.001) elevated in the preservative containing 40 mM Pi. These data suggest that an EAS containing 10 mM NH4+ and 15 mM Pi would be optimal for storing RBCs up to 84 days. The extended storage would be particularly advantageous for autologous transfusion programs.