3,217 research outputs found
Diagnosis of weaknesses in modern error correction codes: a physics approach
One of the main obstacles to the wider use of the modern error-correction
codes is that, due to the complex behavior of their decoding algorithms, no
systematic method which would allow characterization of the Bit-Error-Rate
(BER) is known. This is especially true at the weak noise where many systems
operate and where coding performance is difficult to estimate because of the
diminishingly small number of errors. We show how the instanton method of
physics allows one to solve the problem of BER analysis in the weak noise range
by recasting it as a computationally tractable minimization problem.Comment: 9 pages, 8 figure
Integrability and action operators in quantum Hamiltonian systems
For a (classically) integrable quantum mechanical system with two degrees of
freedom, the functional dependence of the
Hamiltonian operator on the action operators is analyzed and compared with the
corresponding functional relationship in
the classical limit of that system. The former is shown to converge toward the
latter in some asymptotic regime associated with the classical limit, but the
convergence is, in general, non-uniform. The existence of the function
in the integrable regime of a parametric
quantum system explains empirical results for the dimensionality of manifolds
in parameter space on which at least two levels are degenerate. The comparative
analysis is carried out for an integrable one-parameter two-spin model.
Additional results presented for the (integrable) circular billiard model
illuminate the same conclusions from a different angle.Comment: 9 page
Beyond the Point Ps Approximation
In application to positron annihilation spectroscopy, Ps atom is considered
not as a point particle, but as a finite size e+ e- pair localized in a
bubble-state in a medium. Variation of the internal Coulombic e+ -e- attraction
vs. the bubble radius is estimated
Positronium in a liquid phase: formation, bubble state and chemical reactions
This chapter reviews the following items: 1. Energy deposition and track
structure of fast positrons: ionization slowing down, number of ion-electron
pairs, typical sizes, thermalization, electrostatic interaction between e+ and
its blob, effect of local heating; 2. Positronium formation in condensed media:
the Ore model, quasifree Ps state, intratrack mechanism of Ps formation; 3.
Fast intratrack diffusion-controlled reactions: Ps oxidation and ortho-para
conversion by radiolytic products, reaction rate constants, interpretation of
the PAL spectra in water at different temperatures; 4. Ps bubble models.
"Non-point" positronium: wave function, energy contributions, relationship
between the pick-off annihilation rate and the bubble radius
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