1,010 research outputs found
Representation of the three-body Coulomb Green's function in parabolic coordinates: paths of integration
The possibility is discussed of using straight-line paths of integration in
computing the integral representation of the three-body Coulomb Green's
function. In our numerical examples two different integration contours are
considered. It is demonstrated that only one of these straight-line paths
provides that the integral representation is valid
Relativistic mask method for electron momentum distributions after ionization of hydrogen-like ions in strong laser fields
Wavefunction-splitting or mask method, widely used in the non-relativistic
calculations of the photoelectron angular distributions, is extended to the
relativistic domain within the dipole approximation. Since the closed-form
expressions for the relativistic Volkov states are not available within the
dipole approximation, we build such states numerically solving a single
second-order differential equation. We calculate the photoelectron energy
spectra and angular distributions for highly charged ions under different
ionization regimes with both the direct and the relativistic mask methods. We
show that the relativistic mask method works very well and reproduces the
electron energy and angular distributions calculated by the direct method in
the energy range where both methods can be used. On the other hand, the
relativistic mask method can be applied for longer laser pulses and/or higher
photoelectron energies where the direct method may have difficulties
The parabolic Sturmian-function basis representation of the six-dimensional Coulomb Green's function
The square integrable basis set representation of the resolvent of the
asymptotic three-body Coulomb wave operator in parabolic coordinates is
obtained. The resulting six-dimensional Green's function matrix is expressed as
a convolution integral over separation constants.Comment: 14 pages, 2 figure
Recovering Grammar Relationships for the Java Language Specification
Grammar convergence is a method that helps discovering relationships between
different grammars of the same language or different language versions. The key
element of the method is the operational, transformation-based representation
of those relationships. Given input grammars for convergence, they are
transformed until they are structurally equal. The transformations are composed
from primitive operators; properties of these operators and the composed chains
provide quantitative and qualitative insight into the relationships between the
grammars at hand. We describe a refined method for grammar convergence, and we
use it in a major study, where we recover the relationships between all the
grammars that occur in the different versions of the Java Language
Specification (JLS). The relationships are represented as grammar
transformation chains that capture all accidental or intended differences
between the JLS grammars. This method is mechanized and driven by nominal and
structural differences between pairs of grammars that are subject to
asymmetric, binary convergence steps. We present the underlying operator suite
for grammar transformation in detail, and we illustrate the suite with many
examples of transformations on the JLS grammars. We also describe the
extraction effort, which was needed to make the JLS grammars amenable to
automated processing. We include substantial metadata about the convergence
process for the JLS so that the effort becomes reproducible and transparent
Phytohormonal regulation of in vitro formation of wheat androgenic structures
This research is devoted to developing a method of phytohormonal regulation of in vitro formation of a certain type of wheat androgenic structures. Using the method of ELISA it was shown that the induction of certain sporophytic morphogenesis pathway in vitro of anther haploid cells - microspores depends on both the content of endogenous auxin IAA in anthers before inoculating them onto induction medium, and the concentration of exogenous auxin 2,4-D in this medium. The obtained data confirms the principle possibility of regulation of ways of getting androgenic regenerants in vitro by selecting the optimal balance of endogenous and exogenous auxin
Nucleon-nucleon interaction in the -matrix inverse scattering approach and few-nucleon systems
The nucleon-nucleon interaction is constructed by means of the -matrix
version of inverse scattering theory. Ambiguities of the interaction are
eliminated by postulating tridiagonal and quasi-tridiagonal forms of the
potential matrix in the oscillator basis in uncoupled and coupled waves,
respectively. The obtained interaction is very accurate in reproducing the
scattering data and deuteron properties. The interaction is used in the no-core
shell model calculations of H and He nuclei. The resulting binding
energies of H and He are very close to experimental values.Comment: Text is revised, new figures and references adde
Studying of stowage massifs formation conditions in deep-laying rich KMA iron oxides developing and efficient stowage composition projection
On the example of Yakovlevsky iron-ore field which is characterized by composite hydro-geological and mining development conditions the natural monitoring technique of intense stowage massif strained state, which is formed in the descending layered dredging system of unstable rich iron oxides is proved and approve
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