60 research outputs found
Dehalogenation and decolorization of wheat strawbased bleachery effluents by Penicillium camemberti
This paper examined the capability of Penicillium camemberti to dechlorinate and decolorize wheat straw-based pulping and bleaching effluents. In batch tests, the highest removals for CEH (Chlorination-Extraction-Hypochlorite) bleaching sequence [65% organic halides (AOX) 84% color] were obtained with 2 g/l acetate concentration in 10 days under non-shaking conditions. Experiments in shaking flasks containing Tween 80 produced 60% AOX, 79% color removals in 10 days. This removal efficiency was also in accord with gas chromatography analysis indicating drastic reductions at low molecular weight adsorbable organic halogen compounds
The orthogonality of q-classical polynomials of the Hahn class: A geometrical approach
The idea of this review article is to discuss in a unified way the
orthogonality of all positive definite polynomial solutions of the
-hypergeometric difference equation on the -linear lattice by means of a
qualitative analysis of the -Pearson equation. Therefore, our method differs
from the standard ones which are based on the Favard theorem, the three-term
recurrence relation and the difference equation of hypergeometric type. Our
approach enables us to extend the orthogonality relations for some well-known
-polynomials of the Hahn class to a larger set of their parameters. A short
version of this paper appeared in SIGMA 8 (2012), 042, 30 pages
http://dx.doi.org/10.3842/SIGMA.2012.042.Comment: A short version of this paper appeared in SIGMA 8 (2012), 042, 30
pages http://dx.doi.org/10.3842/SIGMA.2012.04
High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture
A numerical method of high precision is used to calculate the energy
eigenvalues and eigenfunctions for a symmetric double-well potential. The
method is based on enclosing the system within two infinite walls with a large
but finite separation and developing a power series solution for the
Schrdinger equation. The obtained numerical results are compared with
those obtained on the basis of the Zinn-Justin conjecture and found to be in an
excellent agreement.Comment: Substantial changes including the title and the content of the paper
8 pages, 2 figures, 3 table
Exact solution for Morse oscillator in PT-symmetric quantum mechanics
The recently proposed PT-symmetric quantum mechanics works with complex
potentials which possess, roughly speaking, a symmetric real part and an
anti-symmetric imaginary part. We propose and describe a new exactly solvable
model of this type. It is defined as a specific analytic continuation of the
shape-invariant potential of Morse. In contrast to the latter well-known
example, all the new spectrum proves real, discrete and bounded below. All its
three separate subsequences are quadratic in n.Comment: 8 pages, submitted to Phys. Lett.
Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
We consider a free particle,V(r)=0, with position-dependent mass
m(r)=1/(1+zeta^2*r^2)^2 in the d-dimensional schrodinger equation. The
effective potential turns out to be a generalized Poschl-Teller potential that
admits exact solution.Comment: 6 pages, no figures, to appear in Phys. Lett.
Part of the D - dimensional Spiked harmonic oscillator spectra
The pseudoperturbative shifted - l expansion technique PSLET [5,20] is
generalized for states with arbitrary number of nodal zeros. Interdimensional
degeneracies, emerging from the isomorphism between angular momentum and
dimensionality of the central force Schrodinger equation, are used to construct
part of the D - dimensional spiked harmonic oscillator bound - states. PSLET
results are found to compare excellenly with those from direct numerical
integration and generalized variational methods [1,2].Comment: Latex file, 20 pages, to appear in J. Phys. A: Math. & Ge
Short-range oscillators in power-series picture
A class of short-range potentials on the line is considered as an
asymptotically vanishing phenomenological alternative to the popular confining
polynomials. We propose a method which parallels the analytic Hill-Taylor
description of anharmonic oscillators and represents all our Jost solutions
non-numerically, in terms of certain infinite hypergeometric-like series. In
this way the well known solvable Rosen-Morse and scarf models are generalized.Comment: 23 pages, latex, submitted to J. Phys. A: Math. Ge
The power of perturbation theory
We study quantum mechanical systems with a discrete spectrum. We show that the asymptotic series associated to certain paths of steepest-descent (Lefschetz thimbles) are Borel resummable to the full result. Using a geometrical approach based on the PicardLefschetz theory we characterize the conditions under which perturbative expansions lead to exact results. Even when such conditions are not met, we explain how to define a different perturbative expansion that reproduces the full answer without the need of transseries, i.e. non-perturbative effects, such as real (or complex) instantons. Applications to several quantum mechanical systems are presented
- …